Frontiers In Time Scales And Inequalities

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Frontiers in Time Scales and Inequalities

George A Anastassiou
Frontiers in Time Scales and Inequalities Book PDF

Author : George A Anastassiou
Publisher : World Scientific
Page : 288 pages
File Size : 44,9 Mb
Release : 2015-08-06
Category : Mathematics
ISBN : 9789814704458

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Frontiers in Time Scales and Inequalities by George A Anastassiou Pdf

This monograph contains the author's work of the last four years in discrete and fractional analysis. It introduces the right delta and right nabla fractional calculus on time scales and continues with the right delta and right nabla discrete fractional calculus in the Caputo sense. Then, it shows representation formulae of functions on time scales and presents Ostrowski type inequalities, Landau type inequalities, Grüss type and comparison of means inequalities, all these over time scales. The volume continues with integral operator inequalities and their multivariate vectorial versions using convexity of functions, again all these over time scales. It follows the Grüss and Ostrowski type inequalities involving s-convexity of functions; and also examines the general case when several functions are involved. Then, it presents the general fractional Hermite–Hadamard type inequalities using m-convexity and (s, m)-convexity. Finally, it introduces the reduction method in fractional calculus and its connection to fractional Ostrowski type inequalities is studied. This book's results are expected to find applications in many areas of pure and applied mathematics, especially in difference equations and fractional differential equations. The chapters are self-contained and can be read independently, and advanced courses can be taught out of it. It is suitable for researchers, graduate students, seminars of the above subjects, and serves well as an invaluable resource for all science libraries. Contents:Foundations of Right Delta Fractional Calculus on Time ScalesPrinciples of Right Nabla Fractional Calculus on Time ScalesAbout Right Delta Discrete FractionalityAbout Right Nabla Discrete Fractional CalculusRepresentations and Ostrowski Inequalities over Time ScalesLandau Inequalities on Time ScalesGrüss and Comparison of Means Inequalities over Time ScalesAbout Integral Operator Inequalities over Time ScalesAbout Vectorial Integral Operator Inequalities Using Convexity over Time ScalesGeneral Grüss and Ostrowski Inequalities Using s-ConvexityEssential and s-Convexity Ostrowski and Grüss Inequalities Using Several FunctionsGeneral Fractional Hermite–Hadamard Inequalities Using m-Convexity and (s, m)-ConvexityAbout the Reduction Method in Fractional Calculus and Fractional Ostrowski Inequalities Readership: Advanced graduate students and researchers interested in time scales, inequalities and difference/differential equations. Key Features:Presents new research on time scales and related inequalitiesMaterials are crucially related to difference/differential equationsSelf-contained chapters that can be read independentlyAn extensive list of references is given in each chapterThe topics covered are diverseKeywords:Time Scale;Fractional Derivative;Difference Equation;Fractional Inequality

Advances On Fractional Dynamic Inequalities On Time Scales

Svetlin G Georgiev,Khaled Zennir
Advances On Fractional Dynamic Inequalities On Time Scales Book PDF

Author : Svetlin G Georgiev,Khaled Zennir
Publisher : World Scientific
Page : 337 pages
File Size : 51,7 Mb
Release : 2023-08-29
Category : Mathematics
ISBN : 9789811275487

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Advances On Fractional Dynamic Inequalities On Time Scales by Svetlin G Georgiev,Khaled Zennir Pdf

This book is devoted on recent developments of linear and nonlinear fractional Riemann-Liouville and Caputo integral inequalities on time scales. The book is intended for the use in the field of fractional dynamic calculus on time scales and fractional dynamic equations on time scales. It is also suitable for graduate courses in the above fields, and contains ten chapters. The aim of this book is to present a clear and well-organized treatment of the concept behind the development of mathematics as well as solution techniques. The text material of this book is presented in a readable and mathematically solid format.

Bloch-type Periodic Functions: Theory And Applications To Evolution Equations

Yong-kui Chang,Gaston Mandata N'guerekata,Rodrigo Ponce
Bloch type Periodic Functions Theory And Applications To Evolution Equations Book PDF

Author : Yong-kui Chang,Gaston Mandata N'guerekata,Rodrigo Ponce
Publisher : World Scientific
Page : 209 pages
File Size : 43,6 Mb
Release : 2022-07-13
Category : Mathematics
ISBN : 9789811254376

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Bloch-type Periodic Functions: Theory And Applications To Evolution Equations by Yong-kui Chang,Gaston Mandata N'guerekata,Rodrigo Ponce Pdf

This monograph aims to provide for the first time a unified and homogenous presentation of the recent works on the theory of Bloch periodic functions, their generalizations, and their applications to evolution equations. It is useful for graduate students and beginning researchers as seminar topics, graduate courses and reference text in pure and applied mathematics, physics, and engineering.

Differential Sheaves And Connections: A Natural Approach To Physical Geometry

Mallios Anastasios,Zafiris Elias
Differential Sheaves And Connections A Natural Approach To Physical Geometry Book PDF

Author : Mallios Anastasios,Zafiris Elias
Publisher : World Scientific
Page : 304 pages
File Size : 47,6 Mb
Release : 2015-09-17
Category : Mathematics
ISBN : 9789814719483

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Differential Sheaves And Connections: A Natural Approach To Physical Geometry by Mallios Anastasios,Zafiris Elias Pdf

This unique book provides a self-contained conceptual and technical introduction to the theory of differential sheaves. This serves both the newcomer and the experienced researcher in undertaking a background-independent, natural and relational approach to 'physical geometry'. In this manner, this book is situated at the crossroads between the foundations of mathematical analysis with a view toward differential geometry and the foundations of theoretical physics with a view toward quantum mechanics and quantum gravity. The unifying thread is provided by the theory of adjoint functors in category theory and the elucidation of the concepts of sheaf theory and homological algebra in relation to the description and analysis of dynamically constituted physical geometric spectrums.

Stochastic Models With Applications To Genetics, Cancers, Aids And Other Biomedical Systems (Second Edition)

Wai-yuan Tan
Stochastic Models With Applications To Genetics Cancers Aids And Other Biomedical Systems Second Edition Book PDF

Author : Wai-yuan Tan
Publisher : World Scientific
Page : 524 pages
File Size : 41,7 Mb
Release : 2015-10-28
Category : Mathematics
ISBN : 9789814397216

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Stochastic Models With Applications To Genetics, Cancers, Aids And Other Biomedical Systems (Second Edition) by Wai-yuan Tan Pdf

This book presents a systematic treatment of Markov chains, diffusion processes and state space models, as well as alternative approaches to Markov chains through stochastic difference equations and stochastic differential equations. It illustrates how these processes and approaches are applied to many problems in genetics, carcinogenesis, AIDS epidemiology and other biomedical systems.One feature of the book is that it describes the basic MCMC (Markov chain and Monte Carlo) procedures and illustrates how to use the Gibbs sampling method and the multilevel Gibbs sampling method to solve many problems in genetics, carcinogenesis, AIDS and other biomedical systems.As another feature, the book develops many state space models for many genetic problems, carcinogenesis, AIDS epidemiology and HIV pathogenesis. It shows in detail how to use the multilevel Gibbs sampling method to estimate (or predict) simultaneously the state variables and the unknown parameters in cancer chemotherapy, carcinogenesis, AIDS epidemiology and HIV pathogenesis. As a matter of fact, this book is the first to develop several state space models for many genetic problems, carcinogenesis and other biomedical problems.To emphasize special applications to medical problems, in this new edition the book has added a new chapter to illustrate how to develop biologically-supported stochastic models and state space models of carcinogenesis in human beings. Specific examples include hidden Markov models and state space models for human colon cancer, human liver cancer and some human pediatric cancers such as retinoblastoma and hepatoblastoma. The book also gives examples to illustrate how to develop procedures to assess cancer risk of environmental agents through initiation-promotion protocols.

Introduction To Matrix Theory: With Applications In Economics And Engineering (Second Edition)

Ferenc Szidarovszky,Sandor Molnar,Mark Molnar
Introduction To Matrix Theory With Applications In Economics And Engineering Second Edition Book PDF

Author : Ferenc Szidarovszky,Sandor Molnar,Mark Molnar
Publisher : World Scientific
Page : 469 pages
File Size : 54,7 Mb
Release : 2022-12-19
Category : Mathematics
ISBN : 9789811256660

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Introduction To Matrix Theory: With Applications In Economics And Engineering (Second Edition) by Ferenc Szidarovszky,Sandor Molnar,Mark Molnar Pdf

Linear algebra and matrix theory are among the most important and most frequently applied branches of mathematics. They are especially important in solving engineering and economic models, where either the model is assumed linear, or the nonlinear model is approximated by a linear model, and the resulting linear model is examined.This book is mainly a textbook, that covers a one semester upper division course or a two semester lower division course on the subject.The second edition will be an extended and modernized version of the first edition. We added some new theoretical topics and some new applications from fields other than economics. We also added more difficult exercises at the end of each chapter which require deep understanding of the theoretical issues. We also modernized some proofs in the theoretical discussions which give better overview of the study material. In preparing the manuscript we also corrected the typos and errors, so the second edition will be a corrected, extended and modernized new version of the first edition.

Discrete Approximation Theory

George A Anastassiou,Merve Kester
Discrete Approximation Theory Book PDF

Author : George A Anastassiou,Merve Kester
Publisher : World Scientific
Page : 348 pages
File Size : 47,6 Mb
Release : 2016-09-29
Category : Mathematics
ISBN : 9789813145856

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Discrete Approximation Theory by George A Anastassiou,Merve Kester Pdf

In this monograph, we present the authors' recent work of the last seven years in Approximation Theory. Chapters are self-contained and can be read independently and advanced courses can be taught out of this book. Here our generalized discrete singular operators are of the following types: Picard, Gauss–Weierstrass and Poisson–Cauchy operators. We treat both the unitary and non-unitary, univariate and multivariate cases of these operators, which are not necessarily positive operators. The book's results are expected to find applications in many areas of pure and applied mathematics, and statistics. As such, it is suitable for researchers, graduate students, and seminars of related subjects, and serves well as an invaluable resource for all science libraries.

Frontiers in Approximation Theory

George A Anastassiou
Frontiers in Approximation Theory Book PDF

Author : George A Anastassiou
Publisher : World Scientific
Page : 228 pages
File Size : 49,8 Mb
Release : 2015-06-23
Category : Mathematics
ISBN : 9789814696111

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Frontiers in Approximation Theory by George A Anastassiou Pdf

This monograph presents the author's work of the last five years in approximation theory. The chapters are self-contained and can be read independently. Readers will find the topics covered are diverse and advanced courses can be taught out of this book. The first part of the book is dedicated to fractional monotone approximation theory introduced for the first time by the author, taking the related ordinary theory of usual differentiation at the fractional differentiation level with polynomials and splines as approximators. The second part deals with the approximation by discrete singular operators of the Favard style, for example, of the Picard and Gauss–Weierstrass types. Then, it continues in a very detailed and extensive chapter on approximation by interpolating operators induced by neural networks, a connection to computer science. This book ends with the approximation theory and functional analysis on time scales, a very modern topic, detailing all the pros and cons of this method. The results in this book are expected to find applications in many areas of pure and applied mathematics. So far, very little is written about fractional approximation theory which is at its infancy. As such, it is suitable for researchers, graduate students, and performing seminars as well as an invaluable resource for all science libraries. Contents:Fractional Monotone ApproximationRight Fractional Monotone Approximation Theory Univariate Left Fractional Polynomial High Order Monotone Approximation Theory Univariate Right Fractional Polynomial High Order Monotone Approximation TheorySpline Left Fractional Monotone Approximation Theory Using Left Fractional Differential OperatorsSpline Right Fractional Monotone Approximation Theory Using Right Fractional Differential OperatorsComplete Fractional Monotone Approximation TheoryLower Order Fractional Monotone Approximation TheoryApproximation Theory by Discrete Singular OperatorsOn Discrete Approximation by Gauss–Weierstrass and Picard Type Operators Approximation Theory by Interpolating Neural NetworksApproximation and Functional Analysis Over Time Scales Readership: Graduate students and researchers in approximation theory. Key Features:Presents new research in approximation theoryAn extensive list of references is given in every chapterIt is about fractional approximation, neural networks and singular integrals approximationsImportant to applications in applied mathematicsKeywords:Fractional Approximation;Neural Networks;Singular Integrals

New Trends in Fractional Differential Equations with Real-World Applications in Physics

Jagdev Singh,Jordan Yankov Hristov,Zakia Hammouch
New Trends in Fractional Differential Equations with Real World Applications in Physics Book PDF

Author : Jagdev Singh,Jordan Yankov Hristov,Zakia Hammouch
Publisher : Frontiers Media SA
Page : 172 pages
File Size : 43,7 Mb
Release : 2020-12-30
Category : Science
ISBN : 9782889663040

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New Trends in Fractional Differential Equations with Real-World Applications in Physics by Jagdev Singh,Jordan Yankov Hristov,Zakia Hammouch Pdf

This eBook is a collection of articles from a Frontiers Research Topic. Frontiers Research Topics are very popular trademarks of the Frontiers Journals Series: they are collections of at least ten articles, all centered on a particular subject. With their unique mix of varied contributions from Original Research to Review Articles, Frontiers Research Topics unify the most influential researchers, the latest key findings and historical advances in a hot research area! Find out more on how to host your own Frontiers Research Topic or contribute to one as an author by contacting the Frontiers Editorial Office: frontiersin.org/about/contact.

Frontiers in Functional Equations and Analytic Inequalities

George A. Anastassiou,John Michael Rassias
Frontiers in Functional Equations and Analytic Inequalities Book PDF

Author : George A. Anastassiou,John Michael Rassias
Publisher : Springer Nature
Page : 746 pages
File Size : 54,6 Mb
Release : 2019-11-23
Category : Mathematics
ISBN : 9783030289508

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Frontiers in Functional Equations and Analytic Inequalities by George A. Anastassiou,John Michael Rassias Pdf

This volume presents cutting edge research from the frontiers of functional equations and analytic inequalities active fields. It covers the subject of functional equations in a broad sense, including but not limited to the following topics: Hyperstability of a linear functional equation on restricted domains Hyers–Ulam’s stability results to a three point boundary value problem of nonlinear fractional order differential equations Topological degree theory and Ulam’s stability analysis of a boundary value problem of fractional differential equations General Solution and Hyers-Ulam Stability of Duo Trigintic Functional Equation in Multi-Banach Spaces Stabilities of Functional Equations via Fixed Point Technique Measure zero stability problem for the Drygas functional equation with complex involution Fourier Transforms and Ulam Stabilities of Linear Differential Equations Hyers–Ulam stability of a discrete diamond–alpha derivative equation Approximate solutions of an interesting new mixed type additive-quadratic-quartic functional equation. The diverse selection of inequalities covered includes Opial, Hilbert-Pachpatte, Ostrowski, comparison of means, Poincare, Sobolev, Landau, Polya-Ostrowski, Hardy, Hermite-Hadamard, Levinson, and complex Korovkin type. The inequalities are also in the environments of Fractional Calculus and Conformable Fractional Calculus. Applications from this book's results can be found in many areas of pure and applied mathematics, especially in ordinary and partial differential equations and fractional differential equations. As such, this volume is suitable for researchers, graduate students and related seminars, and all science and engineering libraries. The exhibited thirty six chapters are self-contained and can be read independently and interesting advanced seminars can be given out of this book.

Ten Thousand Years of Inequality

Timothy A. Kohler,Michael E. Smith
Ten Thousand Years of Inequality Book PDF

Author : Timothy A. Kohler,Michael E. Smith
Publisher : University of Arizona Press
Page : 353 pages
File Size : 48,7 Mb
Release : 2019-02-19
Category : Social Science
ISBN : 9780816539444

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Ten Thousand Years of Inequality by Timothy A. Kohler,Michael E. Smith Pdf

Is wealth inequality a universal feature of human societies, or did early peoples live an egalitarian existence? How did inequality develop before the modern era? Did inequalities in wealth increase as people settled into a way of life dominated by farming and herding? Why in general do such disparities increase, and how recent are the high levels of wealth inequality now experienced in many developed nations? How can archaeologists tell? Ten Thousand Years of Inequality addresses these and other questions by presenting the first set of consistent quantitative measurements of ancient wealth inequality. The authors are archaeologists who have adapted the Gini index, a statistical measure of wealth distribution often used by economists to measure contemporary inequality, and applied it to house-size distributions over time and around the world. Clear descriptions of methods and assumptions serve as a model for other archaeologists and historians who want to document past patterns of wealth disparity. The chapters cover a variety of ancient cases, including early hunter-gatherers, farmer villages, and agrarian states and empires. The final chapter synthesizes and compares the results. Among the new and notable outcomes, the authors report a systematic difference between higher levels of inequality in ancient Old World societies and lower levels in their New World counterparts. For the first time, archaeology allows humanity’s deep past to provide an account of the early manifestations of wealth inequality around the world. Contributors Nicholas Ames Alleen Betzenhauser Amy Bogaard Samuel Bowles Meredith S. Chesson Abhijit Dandekar Timothy J. Dennehy Robert D. Drennan Laura J. Ellyson Deniz Enverova Ronald K. Faulseit Gary M. Feinman Mattia Fochesato Thomas A. Foor Vishwas D. Gogte Timothy A. Kohler Ian Kuijt Chapurukha M. Kusimba Mary-Margaret Murphy Linda M. Nicholas Rahul C. Oka Matthew Pailes Christian E. Peterson Anna Marie Prentiss Michael E. Smith Elizabeth C. Stone Amy Styring Jade Whitlam

Integral Inequalities and Generalized Convexity

Shashi Kant Mishra,Nidhi Sharma,Jaya Bisht
Integral Inequalities and Generalized Convexity Book PDF

Author : Shashi Kant Mishra,Nidhi Sharma,Jaya Bisht
Publisher : CRC Press
Page : 531 pages
File Size : 54,7 Mb
Release : 2023-09-18
Category : Mathematics
ISBN : 9781000952094

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Integral Inequalities and Generalized Convexity by Shashi Kant Mishra,Nidhi Sharma,Jaya Bisht Pdf

The book covers several new research findings in the area of generalized convexity and integral inequalities. Integral inequalities using various type of generalized convex functions are applicable in many branches of mathematics such as mathematical analysis, fractional calculus, and discrete fractional calculus. The book contains integral inequalities of Hermite-Hadamard type, Hermite- Hadamard-Fejer type and majorization type for the generalized strongly convex functions. It presents Hermite-Hadamard type inequalities for functions defined on Time scales. Further, it provides the generalization and extensions of the concept of preinvexity for interval-valued functions and stochastic processes, and give Hermite-Hadamard type and Ostrowski type inequalities for these functions. These integral inequalities are utilized in numerous areas for the boundedness of generalized convex functions. Features: Covers Interval-valued calculus, Time scale calculus, Stochastic processes – all in one single book Numerous examples to validate results Provides an overview of the current state of integral inequalities and convexity for a much wider audience, including practitioners Applications of some special means of real numbers are also discussed The book is ideal for anyone teaching or attending courses in integral inequalities along with researchers in this area.

Productivity and Inequality

William H. Greene,Lynda Khalaf,Paul Makdissi,Robin C. Sickles,Michael Veall,Marcel-Cristian Voia
Productivity and Inequality Book PDF

Author : William H. Greene,Lynda Khalaf,Paul Makdissi,Robin C. Sickles,Michael Veall,Marcel-Cristian Voia
Publisher : Springer
Page : 336 pages
File Size : 54,6 Mb
Release : 2018-02-02
Category : Business & Economics
ISBN : 9783319686783

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Productivity and Inequality by William H. Greene,Lynda Khalaf,Paul Makdissi,Robin C. Sickles,Michael Veall,Marcel-Cristian Voia Pdf

The volume highlights the state-of-the-art knowledge (including data analysis) of productivity, inequality and efficiency analysis. It showcases a selection of the best papers from the 9th North American Productivity Workshop. These papers are relevant to academia, but also to public and private sectors in terms of the challenges that firms, financial institutions, governments, and individuals may face when dealing with economic and education related activities that lead to increase or decrease of productivity. The volume also aims to bring together ideas from different parts of the world about the challenges those local economies and institutions may face when changes in productivity are observed. These contributions focus on theoretical and empirical research in areas including productivity, production theory and efficiency measurement in economics, management science, operation research, public administration, and education. The North American Productivity Workshop (NAPW) brings together academic scholars and practitioners in the field of productivity and efficiency analysis from all over the world, and this proceedings volume is a reflection of this mission. The papers in this volume also address general topics as education, health, energy, finance, agriculture, transport, utilities, and economic development, among others. The editors are comprised of the 2016 local organizers, program committee members, and celebrated guest conference speakers.

Social Inequality in Vietnam and the Challenges to Reform

Philip Taylor
Social Inequality in Vietnam and the Challenges to Reform Book PDF

Author : Philip Taylor
Publisher : Institute of Southeast Asian Studies
Page : 416 pages
File Size : 53,7 Mb
Release : 2004
Category : Social Science
ISBN : 9812302549

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Social Inequality in Vietnam and the Challenges to Reform by Philip Taylor Pdf

Offers detailed descriptions of disparities in income, spatial access, gender, ethnicity and statue, addressing their causes and consequencese. It illustrates the changing ways in which people have accumulated wealth, social and cultural capital in Vietnam's move from a socialist to a market-oriented society. Taylor from ANU.

Mobility and Inequality

Stephen L. Morgan,David B. Grusky,Gary S. Fields
Mobility and Inequality Book PDF

Author : Stephen L. Morgan,David B. Grusky,Gary S. Fields
Publisher : Stanford University Press
Page : 498 pages
File Size : 48,7 Mb
Release : 2006
Category : Education
ISBN : 0804752494

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Mobility and Inequality by Stephen L. Morgan,David B. Grusky,Gary S. Fields Pdf

This book is a collection of original research from the leading scholars in sociology and economics studying mobility and inequality. The volume brings together the state-of-the-art in the field and sets the agenda for future research.