Inequalities And Applications

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Inequalities and Applications

Catherine Bandle,Attila Gilányi,László Losonczi,Zsolt Páles,Michael Plum
Inequalities and Applications Book PDF

Author : Catherine Bandle,Attila Gilányi,László Losonczi,Zsolt Páles,Michael Plum
Publisher : Springer Science & Business Media
Page : 330 pages
File Size : 51,6 Mb
Release : 2008-12-17
Category : Mathematics
ISBN : 9783764387730

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Inequalities and Applications by Catherine Bandle,Attila Gilányi,László Losonczi,Zsolt Páles,Michael Plum Pdf

Inequalities continue to play an essential role in mathematics. Perhaps, they form the last field comprehended and used by mathematicians in all areas of the discipline. Since the seminal work Inequalities (1934) by Hardy, Littlewood and Pólya, mathematicians have laboured to extend and sharpen their classical inequalities. New inequalities are discovered every year, some for their intrinsic interest whilst others flow from results obtained in various branches of mathematics. The study of inequalities reflects the many and various aspects of mathematics. On one hand, there is the systematic search for the basic principles and the study of inequalities for their own sake. On the other hand, the subject is the source of ingenious ideas and methods that give rise to seemingly elementary but nevertheless serious and challenging problems. There are numerous applications in a wide variety of fields, from mathematical physics to biology and economics. This volume contains the contributions of the participants of the Conference on Inequalities and Applications held in Noszvaj (Hungary) in September 2007. It is conceived in the spirit of the preceding volumes of the General Inequalities meetings held in Oberwolfach from 1976 to 1995 in the sense that it not only contains the latest results presented by the participants, but it is also a useful reference book for both lecturers and research workers. The contributions reflect the ramification of general inequalities into many areas of mathematics and also present a synthesis of results in both theory and practice.

Integral Inequalities and Applications

D.D. Bainov,P.S Simeonov
Integral Inequalities and Applications Book PDF

Author : D.D. Bainov,P.S Simeonov
Publisher : Springer Science & Business Media
Page : 270 pages
File Size : 48,7 Mb
Release : 1992-05-31
Category : Mathematics
ISBN : 0792317149

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Integral Inequalities and Applications by D.D. Bainov,P.S Simeonov Pdf

This volume is devoted to integral inequalities of the Gronwall-Bellman-Bihari type. Following a systematic exposition of linear and nonlinear inequalities, attention is paid to analogues including integro-differential inequalities, functional differential inequalities, and discrete and abstract analogues. Applications to the investigation of the properties of solutions of various classes of equations such as uniqueness, stability, dichotomy, asymptotic equivalence and behaviour is also discussed. The book comprises three chapters. Chapter I and II consider classical linear and nonlinear integral inequalities. Chapter III is devoted to various classes of integral inequalities of Gronwall type, and their analogues, which find applications in the theory of integro-differential equations, partial differential equations, differential equations with deviating argument, impube differential equations, etc. Each chapter concludes with a section illustrating the manner of application. The book also contains an extensive bibliography. For researchers whose work involves the theory and application of integral inequalities in mathematics, engineering and physics.

Functional Equations, Inequalities and Applications

Themistocles RASSIAS
Functional Equations Inequalities and Applications Book PDF

Author : Themistocles RASSIAS
Publisher : Springer Science & Business Media
Page : 221 pages
File Size : 50,8 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9789401702256

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Functional Equations, Inequalities and Applications by Themistocles RASSIAS Pdf

Functional Equations, Inequalities and Applications provides an extensive study of several important equations and inequalities, useful in a number of problems in mathematical analysis. Subjects dealt with include the generalized Cauchy functional equation, the Ulam stability theory in the geometry of partial differential equations, stability of a quadratic functional equation in Banach modules, functional equations and mean value theorems, isometric mappings, functional inequalities of iterative type, related to a Cauchy functional equation, the median principle for inequalities and applications, Hadamard and Dragomir-Agarwal inequalities, the Euler formulae and convex functions and approximate algebra homomorphisms. Also included are applications to some problems of pure and applied mathematics. This book will be of particular interest to mathematicians and graduate students whose work involves functional equations, inequalities and applications.

Advances in Mathematical Inequalities and Applications

Praveen Agarwal,Silvestru Sever Dragomir,Mohamed Jleli,Bessem Samet
Advances in Mathematical Inequalities and Applications Book PDF

Author : Praveen Agarwal,Silvestru Sever Dragomir,Mohamed Jleli,Bessem Samet
Publisher : Springer
Page : 349 pages
File Size : 51,8 Mb
Release : 2018-12-31
Category : Mathematics
ISBN : 9789811330131

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Advances in Mathematical Inequalities and Applications by Praveen Agarwal,Silvestru Sever Dragomir,Mohamed Jleli,Bessem Samet Pdf

This book is a collection of original research and survey articles on mathematical inequalities and their numerous applications in diverse areas of mathematics and engineering. It includes chapters on convexity and related concepts; inequalities for mean values, sums, functions, operators, functionals, integrals and their applications in various branches of mathematics and related sciences; fractional integral inequalities; and weighted type integral inequalities. It also presents their wide applications in biomathematics, boundary value problems, mechanics, queuing models, scattering, and geomechanics in a concise, but easily understandable way that makes the further ramifications and future directions clear. The broad scope and high quality of the contributions make this book highly attractive for graduates, postgraduates and researchers. All the contributing authors are leading international academics, scientists, researchers and scholars.

Differential and Integral Inequalities

Dorin Andrica,Themistocles M. Rassias
Differential and Integral Inequalities Book PDF

Author : Dorin Andrica,Themistocles M. Rassias
Publisher : Springer Nature
Page : 848 pages
File Size : 49,7 Mb
Release : 2019-11-14
Category : Mathematics
ISBN : 9783030274078

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Differential and Integral Inequalities by Dorin Andrica,Themistocles M. Rassias Pdf

Theories, methods and problems in approximation theory and analytic inequalities with a focus on differential and integral inequalities are analyzed in this book. Fundamental and recent developments are presented on the inequalities of Abel, Agarwal, Beckenbach, Bessel, Cauchy–Hadamard, Chebychev, Markov, Euler’s constant, Grothendieck, Hilbert, Hardy, Carleman, Landau–Kolmogorov, Carlson, Bernstein–Mordell, Gronwall, Wirtinger, as well as inequalities of functions with their integrals and derivatives. Each inequality is discussed with proven results, examples and various applications. Graduate students and advanced research scientists in mathematical analysis will find this reference essential to their understanding of differential and integral inequalities. Engineers, economists, and physicists will find the highly applicable inequalities practical and useful to their research.

Opial Inequalities with Applications in Differential and Difference Equations

R.P. Agarwal,P.Y. Pang
Opial Inequalities with Applications in Differential and Difference Equations Book PDF

Author : R.P. Agarwal,P.Y. Pang
Publisher : Springer Science & Business Media
Page : 407 pages
File Size : 43,5 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9789401584265

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Opial Inequalities with Applications in Differential and Difference Equations by R.P. Agarwal,P.Y. Pang Pdf

In 1960 the Polish mathematician Zdzidlaw Opial (1930--1974) published an inequality involving integrals of a function and its derivative. This volume offers a systematic and up-to-date account of developments in Opial-type inequalities. The book presents a complete survey of results in the field, starting with Opial's landmark paper, traversing through its generalizations, extensions and discretizations. Some of the important applications of these inequalities in the theory of differential and difference equations, such as uniqueness of solutions of boundary value problems, and upper bounds of solutions are also presented. This book is suitable for graduate students and researchers in mathematical analysis and applications.

Functional Equations and Inequalities with Applications

Palaniappan Kannappan
Functional Equations and Inequalities with Applications Book PDF

Author : Palaniappan Kannappan
Publisher : Springer Science & Business Media
Page : 817 pages
File Size : 49,9 Mb
Release : 2009-06-10
Category : Mathematics
ISBN : 9780387894928

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Functional Equations and Inequalities with Applications by Palaniappan Kannappan Pdf

Functional Equations and Inequalities with Applications presents a comprehensive, nearly encyclopedic, study of the classical topic of functional equations. This self-contained monograph explores all aspects of functional equations and their applications to related topics, such as differential equations, integral equations, the Laplace transformation, the calculus of finite differences, and many other basic tools in analysis. Each chapter examines a particular family of equations and gives an in-depth study of its applications as well as examples and exercises to support the material.

Mathematical Theory of Hemivariational Inequalities and Applications

Zdzistaw Naniewicz,P. D. Panagiotopoulos
Mathematical Theory of Hemivariational Inequalities and Applications Book PDF

Author : Zdzistaw Naniewicz,P. D. Panagiotopoulos
Publisher : CRC Press
Page : 296 pages
File Size : 48,9 Mb
Release : 2021-07-28
Category : Mathematics
ISBN : 9781000445053

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Mathematical Theory of Hemivariational Inequalities and Applications by Zdzistaw Naniewicz,P. D. Panagiotopoulos Pdf

Gives a complete and rigorous presentation of the mathematical study of the expressions - hemivariational inequalities - arising in problems that involve nonconvex, nonsmooth energy functions. A theory of the existence of solutions for inequality problems involving monconvexity and nonsmoothness is established.

Variational-Hemivariational Inequalities with Applications

Mircea Sofonea,Stanislaw Migorski
Variational Hemivariational Inequalities with Applications Book PDF

Author : Mircea Sofonea,Stanislaw Migorski
Publisher : CRC Press
Page : 334 pages
File Size : 47,7 Mb
Release : 2017-10-23
Category : Mathematics
ISBN : 9781351649292

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Variational-Hemivariational Inequalities with Applications by Mircea Sofonea,Stanislaw Migorski Pdf

This research monograph represents an outcome of the cross-fertilization between nonlinear functional analysis and mathematical modelling, and demonstrates its application to solid and contact mechanics. Based on authors’ original results, it introduces a general fixed point principle and its application to various nonlinear problems in analysis and mechanics. The classes of history-dependent operators and almost history-dependent operators are exposed in a large generality. A systematic and unified presentation contains a carefully-selected collection of new results on variational-hemivariational inequalities with or without unilateral constraints. A wide spectrum of static, quasistatic, dynamic contact problems for elastic, viscoelastic and viscoplastic materials illustrates the applicability of these theoretical results. Written for mathematicians, applied mathematicians, engineers and scientists, it is also a valuable tool for graduate students and researchers in nonlinear analysis, mathematical modelling, mechanics of solids, and contact mechanics.

Difference Equations and Inequalities

Ravi P. Agarwal
Difference Equations and Inequalities Book PDF

Author : Ravi P. Agarwal
Publisher : CRC Press
Page : 1010 pages
File Size : 53,9 Mb
Release : 2000-01-27
Category : Mathematics
ISBN : 1420027026

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Difference Equations and Inequalities by Ravi P. Agarwal Pdf

A study of difference equations and inequalities. This second edition offers real-world examples and uses of difference equations in probability theory, queuing and statistical problems, stochastic time series, combinatorial analysis, number theory, geometry, electrical networks, quanta in radiation, genetics, economics, psychology, sociology, and

Integral and Finite Difference Inequalities and Applications

B. G. Pachpatte
Integral and Finite Difference Inequalities and Applications Book PDF

Author : B. G. Pachpatte
Publisher : Elsevier
Page : 320 pages
File Size : 46,7 Mb
Release : 2006-09-14
Category : Mathematics
ISBN : 9780080464794

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Integral and Finite Difference Inequalities and Applications by B. G. Pachpatte Pdf

The monograph is written with a view to provide basic tools for researchers working in Mathematical Analysis and Applications, concentrating on differential, integral and finite difference equations. It contains many inequalities which have only recently appeared in the literature and which can be used as powerful tools and will be a valuable source for a long time to come. It is self-contained and thus should be useful for those who are interested in learning or applying the inequalities with explicit estimates in their studies. Contains a variety of inequalities discovered which find numerous applications in various branches of differential, integral and finite difference equations Valuable reference for someone requiring results about inequalities for use in some applications in various other branches of mathematics Highlights pure and applied mathematics and other areas of science and technology

Lyapunov Inequalities and Applications

Ravi P. Agarwal,Martin Bohner,Abdullah Özbekler
Lyapunov Inequalities and Applications Book PDF

Author : Ravi P. Agarwal,Martin Bohner,Abdullah Özbekler
Publisher : Springer Nature
Page : 607 pages
File Size : 52,9 Mb
Release : 2021-04-12
Category : Mathematics
ISBN : 9783030690298

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Lyapunov Inequalities and Applications by Ravi P. Agarwal,Martin Bohner,Abdullah Özbekler Pdf

This book provides an extensive survey on Lyapunov-type inequalities. It summarizes and puts order into a vast literature available on the subject, and sketches recent developments in this topic. In an elegant and didactic way, this work presents the concepts underlying Lyapunov-type inequalities, covering how they developed and what kind of problems they address. This survey starts by introducing basic applications of Lyapunov’s inequalities. It then advances towards even-order, odd-order, and higher-order boundary value problems; Lyapunov and Hartman-type inequalities; systems of linear, nonlinear, and quasi-linear differential equations; recent developments in Lyapunov-type inequalities; partial differential equations; linear difference equations; and Lyapunov-type inequalities for linear, half-linear, and nonlinear dynamic equations on time scales, as well as linear Hamiltonian dynamic systems. Senior undergraduate students and graduate students of mathematics, engineering, and science will benefit most from this book, as well as researchers in the areas of ordinary differential equations, partial differential equations, difference equations, and dynamic equations. Some background in calculus, ordinary and partial differential equations, and difference equations is recommended for full enjoyment of the content.

Ostrowski Type Inequalities and Applications in Numerical Integration

Sever S. Dragomir,Themistocles RASSIAS
Ostrowski Type Inequalities and Applications in Numerical Integration Book PDF

Author : Sever S. Dragomir,Themistocles RASSIAS
Publisher : Springer Science & Business Media
Page : 491 pages
File Size : 52,9 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9789401725194

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Ostrowski Type Inequalities and Applications in Numerical Integration by Sever S. Dragomir,Themistocles RASSIAS Pdf

It was noted in the preface of the book "Inequalities Involving Functions and Their Integrals and Derivatives", Kluwer Academic Publishers, 1991, by D.S. Mitrinovic, J.E. Pecaric and A.M. Fink; since the writing of the classical book by Hardy, Littlewood and Polya (1934), the subject of differential and integral inequalities has grown by about 800%. Ten years on, we can confidently assert that this growth will increase even more significantly. Twenty pages of Chapter XV in the above mentioned book are devoted to integral inequalities involving functions with bounded derivatives, or, Ostrowski type inequalities. This is now itself a special domain of the Theory of Inequalities with many powerful results and a large number of applications in Numerical Integration, Probability Theory and Statistics, Information Theory and Integral Operator Theory. The main aim of the present book, jointly written by the members of the Vic toria University node of RGMIA (Research Group in Mathematical Inequali ties and Applications, http: I /rgmia. vu. edu. au) and Th. M. Rassias, is to present a selected number of results on Ostrowski type inequalities. Results for univariate and multivariate real functions and their natural applications in the error analysis of numerical quadrature for both simple and multiple integrals as well as for the Riemann-Stieltjes integral are given.

Inequalities

Michael J. Cloud,Bryon C. Drachman
Inequalities Book PDF

Author : Michael J. Cloud,Bryon C. Drachman
Publisher : Springer Science & Business Media
Page : 150 pages
File Size : 43,6 Mb
Release : 2006-05-10
Category : Mathematics
ISBN : 9780387226262

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Inequalities by Michael J. Cloud,Bryon C. Drachman Pdf

A working knowledge of inequalities can be beneficial to the practicing engineer, and inequalities are central to the definitions of all limiting processes, including differentiation and integration. When exact solutions are unavailable, inconvenient, or unnecessary, inequalities can be used to obtain error bounds for numerical approximation. They can also lead to an understanding of the qualitative behavior of solutions. This guide to inequalities was written specifically with engineers and other applied scientists in mind, and helps fill the gap between college algebra-level treatments, and the formidable treatise on the subject that exist in the mathematics literature. To consolidate the learning process, every chapter ends with a rich collection of exercises.

Stochastic Inequalities and Applications

Evariste Giné,Christian Houdré,David Nualart
Stochastic Inequalities and Applications Book PDF

Author : Evariste Giné,Christian Houdré,David Nualart
Publisher : Birkhäuser
Page : 362 pages
File Size : 55,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034880695

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Stochastic Inequalities and Applications by Evariste Giné,Christian Houdré,David Nualart Pdf

Concentration inequalities, which express the fact that certain complicated random variables are almost constant, have proven of utmost importance in many areas of probability and statistics. This volume contains refined versions of these inequalities, and their relationship to many applications particularly in stochastic analysis. The broad range and the high quality of the contributions make this book highly attractive for graduates, postgraduates and researchers in the above areas.