Advanced Inequalities

Author : George A. Anastassiou
Publisher : World Scientific
Page : 423 pages
File Size : 53,8 Mb
Release : 2011
Category : Mathematics
ISBN : 9789814317627

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Advanced Inequalities by George A. Anastassiou Pdf

This monograph presents univariate and multivariate classical analyses of advanced inequalities. This treatise is a culmination of the author's last thirteen years of research work. The chapters are self-contained and several advanced courses can be taught out of this book. Extensive background and motivations are given in each chapter with a comprehensive list of references given at the end. The topics covered are wide-ranging and diverse. Recent advances on Ostrowski type inequalities, Opial type inequalities, Poincare and Sobolev type inequalities, and HardyOpial type inequalities are examined. Works on ordinary and distributional Taylor formulae with estimates for their remainders and applications as well as ChebyshevGruss, Gruss and Comparison of Means inequalities are studied. The results presented are mostly optimal, that is the inequalities are sharp and attained. Applications in many areas of pure and applied mathematics, such as mathematical analysis, probability, ordinary and partial differential equations, numerical analysis, information theory, etc., are explored in detail, as such this monograph is suitable for researchers and graduate students. It will be a useful teaching material at seminars as well as an invaluable reference source in all science libraries.

Author : J. Hellier,N. Chusseau
Publisher : Springer
Page : 325 pages
File Size : 55,8 Mb
Release : 2012-11-13
Category : Business & Economics
ISBN : 9781137283306

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Growing Income Inequalities by J. Hellier,N. Chusseau Pdf

This book explores the widening gap between the wage packets of skilled and unskilled workers that has become a pressing issue for all states in the globalized world economy. Comparing the experiences of more and less developed economies, chapters analyse the underlying causes and key social changes that accompany income inequality.

Author : George A. Anastassiou
Publisher : Springer Nature
Page : 525 pages
File Size : 48,5 Mb
Release : 2020-01-15
Category : Technology & Engineering
ISBN : 9783030386368

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Intelligent Analysis: Fractional Inequalities and Approximations Expanded by George A. Anastassiou Pdf

This book focuses on computational and fractional analysis, two areas that are very important in their own right, and which are used in a broad variety of real-world applications. We start with the important Iyengar type inequalities and we continue with Choquet integral analytical inequalities, which are involved in major applications in economics. In turn, we address the local fractional derivatives of Riemann–Liouville type and related results including inequalities. We examine the case of low order Riemann–Liouville fractional derivatives and inequalities without initial conditions, together with related approximations. In the next section, we discuss quantitative complex approximation theory by operators and various important complex fractional inequalities. We also cover the conformable fractional approximation of Csiszar’s well-known f-divergence, and present conformable fractional self-adjoint operator inequalities. We continue by investigating new local fractional M-derivatives that share all the basic properties of ordinary derivatives. In closing, we discuss the new complex multivariate Taylor formula with integral remainder. Sharing results that can be applied in various areas of pure and applied mathematics, the book offers a valuable resource for researchers and graduate students, and can be used to support seminars in related fields.

Author : B. G. Pachpatte
Publisher : Elsevier
Page : 320 pages
File Size : 52,8 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

Author : Michael T. Todinov
Publisher : CRC Press
Page : 142 pages
File Size : 40,8 Mb
Release : 2020-06-02
Category : Technology & Engineering
ISBN : 9781000076448

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Risk and Uncertainty Reduction by Using Algebraic Inequalities by Michael T. Todinov Pdf

This book covers the application of algebraic inequalities for reliability improvement and for uncertainty and risk reduction. It equips readers with powerful domain-independent methods for reducing risk based on algebraic inequalities and demonstrates the significant benefits derived from the application for risk and uncertainty reduction. Algebraic inequalities: • Provide a powerful reliability improvement, risk and uncertainty reduction method that transcends engineering and can be applied in various domains of human activity • Present an effective tool for dealing with deep uncertainty related to key reliability-critical parameters of systems and processes • Permit meaningful interpretations which link abstract inequalities with the real world • Offer a tool for determining tight bounds for the variation of risk-critical parameters and complying the design with these bounds to avoid failure • Allow optimising designs and processes by minimising the deviation of critical output parameters from their specified values and maximising their performance This book is primarily for engineering professionals and academic researchers in virtually all existing engineering disciplines.

Author : Alan S. Tinkler,Barri E. Tinkler,Virginia M. Jagla,Jean R. Strait
Publisher : IAP
Page : 449 pages
File Size : 44,8 Mb
Release : 2015-12-01
Category : Education
ISBN : 9781681233758

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Service?Learning to Advance Social Justice in a Time of Radical Inequality by Alan S. Tinkler,Barri E. Tinkler,Virginia M. Jagla,Jean R. Strait Pdf

When considering inequality, one goal for educators is to enhance critical engagement to allow learners an opportunity to participate in an inquiry process that advances democracy. Service?learning pedagogy offers an opportunity to advance engaged?learning opportunities within higher education. This is particularly important given the power dynamics that are endemic within conversations about education, including the conversations around the Common Core, charter schools, and the privatization of education. Critical inquiry is central to the ethos of service?learning pedagogy, a pedagogy that is built upon community partner participation and active reflection. Within higher education, service?learning offers an important opportunity to enhance practice within the community, allowing students to engage stakeholders and youth which is particularly important given the dramatic inequalities that are endemic in today’s society.

Author : Francesco Schettino,Fabio Clementi
Publisher : BRILL
Page : 220 pages
File Size : 53,7 Mb
Release : 2022-09-12
Category : Social Science
ISBN : 9789004514430

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Crisis, Inequalities and Poverty by Francesco Schettino,Fabio Clementi Pdf

In Crisis, inequalities and Poverty, Schettino and Clementi provide an empirical and theoretical analysis of the capitalist crisis of the last two decades with a particular focus on the impact on poverty and inequality.

Author : Huan-nan Shi
Publisher : Walter de Gruyter GmbH & Co KG
Page : 236 pages
File Size : 45,5 Mb
Release : 2019-06-17
Category : Mathematics
ISBN : 9783110607840

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Schur-Convex Functions and Inequalities by Huan-nan Shi Pdf

This two-volume work introduces the theory and applications of Schur-convex functions. The first volume introduces concepts and properties of Schur-convex functions, including Schur-geometrically convex functions, Schur-harmonically convex functions, Schur-power convex functions, etc. and also discusses applications of Schur-convex functions in symmetric function inequalities.

Author : George A Anastassiou
Publisher : World Scientific
Page : 288 pages
File Size : 55,5 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

Author : Johan P. Mackenbach
Publisher : Oxford University Press, USA
Page : 253 pages
File Size : 46,9 Mb
Release : 2019-08-29
Category : Medical
ISBN : 9780198831419

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Health Inequalities by Johan P. Mackenbach Pdf

The world we live in is hugely unequal. People in a better socioeconomic position do not only lead more comfortable lives, but also longer and healthier lives. This is true not only in the poorer parts of the world but also in the richest countries, including the advanced welfare states of Western Europe which have successfully pushed back poverty and other forms of material disadvantage. Why are health inequalities - systematically higher rates of disease, disability, and premature death among people with a lower level of education, occupation or income - so persistent? How can we expect to reduce this when it persists even in the most advanced states? Written by a leading figure in public health, this book looks to answer these questions by taking a broad, critical look at the scientific evidence surrounding the explanation of health inequalities, including recent findings from the fields of epidemiology, sociology, psychology, economics, and genetics. It concludes that a simplistic view, in which health inequalities are a direct consequence of social inequality, does not tell us the full story. Drawing upon a unique series of studies covering 30 European countries and more than three decades of observations, it shows that health inequalities are partly driven by autonomous forces that are difficult to counteract, such as educational expansion, increased social mobility, and rapid but differential health improvements. Finally, the book explores how we might use these new findings to continue our efforts to build a healthier and more equal future. Offering a truly multidisciplinary perspective and an accessible writing style, Health Inequalities is an indispensable resource for health researchers, professionals, and policy-makers, as well as for social scientists interested in inequality.

Author : George A. Anastassiou
Publisher : Springer Science & Business Media
Page : 76 pages
File Size : 48,6 Mb
Release : 2011-06-04
Category : Mathematics
ISBN : 9781461402015

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Inequalities Based on Sobolev Representations by George A. Anastassiou Pdf

Inequalities based on Sobolev Representations deals exclusively with very general tight integral inequalities of Chebyshev-Grüss, Ostrowski types and of integral means, all of which depend upon the Sobolev integral representations of functions. Applications illustrate inequalities that engage in ordinary and weak partial derivatives of the involved functions. This book also derives important estimates for the averaged Taylor polynomials and remainders of Sobolev integral representations. The results are examined in all directions and through both univariate and multivariate cases. This book is suitable for researchers, graduate students, and seminars in subareas of mathematical analysis, inequalities, partial differential equations and information theory.

Author : Amory Gethin,Clara Mart’nez-Toledano,Thomas Piketty
Publisher : Harvard University Press
Page : 657 pages
File Size : 45,8 Mb
Release : 2021-11-16
Category : Political Science
ISBN : 9780674248427

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Political Cleavages and Social Inequalities by Amory Gethin,Clara Mart’nez-Toledano,Thomas Piketty Pdf

The empirical starting point for anyone who wants to understand political cleavages in the democratic world, based on a unique dataset covering fifty countries since WWII. Who votes for whom and why? Why has growing inequality in many parts of the world not led to renewed class-based conflicts, seeming instead to have come with the emergence of new divides over identity and integration? News analysts, scholars, and citizens interested in exploring those questions inevitably lack relevant data, in particular the kinds of data that establish historical and international context. Political Cleavages and Social Inequalities provides the missing empirical background, collecting and examining a treasure trove of information on the dynamics of polarization in modern democracies. The chapters draw on a unique set of surveys conducted between 1948 and 2020 in fifty countries on five continents, analyzing the links between votersÕ political preferences and socioeconomic characteristics, such as income, education, wealth, occupation, religion, ethnicity, age, and gender. This analysis sheds new light on how political movements succeed in coalescing multiple interests and identities in contemporary democracies. It also helps us understand the conditions under which conflicts over inequality become politically salient, as well as the similarities and constraints of voters supporting ethnonationalist politicians like Narendra Modi, Jair Bolsonaro, Marine Le Pen, and Donald Trump. Bringing together cutting-edge data and historical analysis, editors Amory Gethin, Clara Mart’nez-Toledano, and Thomas Piketty offer a vital resource for understanding the voting patterns of the present and the likely sources of future political conflict.

Author : Ulrike Gerhard,Michael Hoelscher,David Wilson
Publisher : Springer
Page : 270 pages
File Size : 43,7 Mb
Release : 2016-12-20
Category : Social Science
ISBN : 9781349951154

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Inequalities in Creative Cities by Ulrike Gerhard,Michael Hoelscher,David Wilson Pdf

This edited volume is a lively and timely appraisal of “ordinary cities” as they struggle to implement creative redevelopment and economic growth strategies to enhance their global competitiveness. The book is concerned with new and often unanticipated inequalities that have emerged from this new city movement. As chronicled, such cities – Cleveland (USA), Heidelberg (Germany), Oxford (UK), Groningen (Netherlands), Montpellier (France), but also cities from the Global South such as Cachoeira (Brazil) and Delhi (India) – now experience new and unexpected realities of poverty, segregation, neglect of the poor, racial and ethnic strife. To date planners, academics, and policy analysts have paid little attention to the connections between this drive in these cities to be more creative and the inequalities that have followed. This book, keenly making these connections, highlights the limited visions that have been applied in this planning drive to make these cities more creative and ultimately more globally competitive.

Author : Scott Sernau
Publisher : Pine Forge Press
Page : 377 pages
File Size : 41,7 Mb
Release : 2010-04-28
Category : Social Science
ISBN : 9781412977913

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Social Inequality in a Global Age by Scott Sernau Pdf

Worlds Apart: Social Inequality in a Global Age, Third Edition is intended as the primary text for upper-level undergraduate and graduate students who are enrolled in Social Stratification and Inequality courses, primarily taught in Sociology departments. This book focuses primarily on social inequalities in the American context. However, a trend in this course is how the global inequalities are effecting, and affected by social stratification and inequality in America. This edition reflects that trend.

Author : Anonim
Publisher : Unknown
Page : 602 pages
File Size : 45,6 Mb
Release : 2008
Category : Mathematics
ISBN : UOM:39015072631578

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Advanced Studies in Contemporary Mathematics by Anonim Pdf