Inequality Theory and Applications

Inequality Theory and Applications

Author: Yeol Je Cho

Publisher: Nova Publishers

Published: 2007

Total Pages: 200

ISBN-13: 9781594548741

DOWNLOAD EBOOK

The aim of this volume is to introduce and exchange recent new topics on the areas of inequality theory and their applications dealing in pure and applied mathematics.


Inequalities: Theory of Majorization and Its Applications

Inequalities: Theory of Majorization and Its Applications

Author: Albert W. Marshall

Publisher: Springer Science & Business Media

Published: 2010-11-25

Total Pages: 919

ISBN-13: 0387682767

DOWNLOAD EBOOK

This book’s first edition has been widely cited by researchers in diverse fields. The following are excerpts from reviews. “Inequalities: Theory of Majorization and its Applications” merits strong praise. It is innovative, coherent, well written and, most importantly, a pleasure to read. ... This work is a valuable resource!” (Mathematical Reviews). “The authors ... present an extremely rich collection of inequalities in a remarkably coherent and unified approach. The book is a major work on inequalities, rich in content and original in organization.” (Siam Review). “The appearance of ... Inequalities in 1979 had a great impact on the mathematical sciences. By showing how a single concept unified a staggering amount of material from widely diverse disciplines–probability, geometry, statistics, operations research, etc.–this work was a revelation to those of us who had been trying to make sense of his own corner of this material.” (Linear Algebra and its Applications). This greatly expanded new edition includes recent research on stochastic, multivariate and group majorization, Lorenz order, and applications in physics and chemistry, in economics and political science, in matrix inequalities, and in probability and statistics. The reference list has almost doubled.


Differential and Integral Inequalities

Differential and Integral Inequalities

Author: Dorin Andrica

Publisher: Springer Nature

Published: 2019-11-14

Total Pages: 848

ISBN-13: 3030274071

DOWNLOAD EBOOK

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.


Approximation Theory and Analytic Inequalities

Approximation Theory and Analytic Inequalities

Author: Themistocles M. Rassias

Publisher: Springer Nature

Published: 2021-07-21

Total Pages: 546

ISBN-13: 3030606228

DOWNLOAD EBOOK

This contributed volume focuses on various important areas of mathematics in which approximation methods play an essential role. It features cutting-edge research on a wide spectrum of analytic inequalities with emphasis on differential and integral inequalities in the spirit of functional analysis, operator theory, nonlinear analysis, variational calculus, featuring a plethora of applications, making this work a valuable resource. The reader will be exposed to convexity theory, polynomial inequalities, extremal problems, prediction theory, fixed point theory for operators, PDEs, fractional integral inequalities, multidimensional numerical integration, Gauss–Jacobi and Hermite–Hadamard type inequalities, Hilbert-type inequalities, and Ulam’s stability of functional equations. Contributions have been written by eminent researchers, providing up-to-date information and several results which may be useful to a wide readership including graduate students and researchers working in mathematics, physics, economics, operational research, and their interconnections.


Gini Inequality Index

Gini Inequality Index

Author: Nitis Mukhopadhyay

Publisher: CRC Press

Published: 2021-04-21

Total Pages: 177

ISBN-13: 1000349187

DOWNLOAD EBOOK

"Prof. Nitis Mukhopadhyay and Prof. Partha Pratim Sengupta, who edited this volume with great attention and rigor, have certainly carried out noteworthy activities." - Giovanni Maria Giorgi, University of Rome (Sapienza) "This book is an important contribution to the development of indices of disparity and dissatisfaction in the age of globalization and social strife." - Shelemyahu Zacks, SUNY-Binghamton "It will not be an overstatement when I say that the famous income inequality index or wealth inequality index, which is most widely accepted across the globe is named after Corrado Gini (1984-1965). ... I take this opportunity to heartily applaud the two co-editors for spending their valuable time and energy in putting together a wonderful collection of papers written by the acclaimed researchers on selected topics of interest today. I am very impressed, and I believe so will be its readers." - K.V. Mardia, University of Leeds Gini coefficient or Gini index was originally defined as a standardized measure of statistical dispersion intended to understand an income distribution. It has evolved into quantifying inequity in all kinds of distributions of wealth, gender parity, access to education and health services, environmental policies, and numerous other attributes of importance. Gini Inequality Index: Methods and Applications features original high-quality peer-reviewed chapters prepared by internationally acclaimed researchers. They provide innovative methodologies whether quantitative or qualitative, covering welfare economics, development economics, optimization/non-optimization, econometrics, air quality, statistical learning, inference, sample size determination, big data science, and some heuristics. Never before has such a wide dimension of leading research inspired by Gini's works and their applicability been collected in one edited volume. The volume also showcases modern approaches to the research of a number of very talented and upcoming younger contributors and collaborators. This feature will give readers a window with a distinct view of what emerging research in this field may entail in the near future.


Classical and New Inequalities in Analysis

Classical and New Inequalities in Analysis

Author: Dragoslav S. Mitrinovic

Publisher: Springer Science & Business Media

Published: 2013-04-17

Total Pages: 739

ISBN-13: 9401710430

DOWNLOAD EBOOK

This volume presents a comprehensive compendium of classical and new inequalities as well as some recent extensions to well-known ones. Variations of inequalities ascribed to Abel, Jensen, Cauchy, Chebyshev, Hölder, Minkowski, Stefferson, Gram, Fejér, Jackson, Hardy, Littlewood, Po'lya, Schwarz, Hadamard and a host of others can be found in this volume. The more than 1200 cited references include many from the last ten years which appear in a book for the first time. The 30 chapters are all devoted to inequalities associated with a given classical inequality, or give methods for the derivation of new inequalities. Anyone interested in equalities, from student to professional, will find their favorite inequality and much more.


The Sociology of Spatial Inequality

The Sociology of Spatial Inequality

Author: Linda M. Lobao

Publisher: State University of New York Press

Published: 2012-02-01

Total Pages: 288

ISBN-13: 0791479978

DOWNLOAD EBOOK

2007 CHOICE Outstanding Academic Title Sociologists have too often discounted the role of space in inequality. This book showcases a recent generation of inquiry that attends to poverty, prosperity, and power across a range of territories and their populations within the United States, addressing spatial inequality as a thematically distinct body of work that spans sociological research traditions. The contributors' various perspectives offer an agenda for future action to bridge sociology's diverse and often narrowly focused spatial and inequality traditions.


Social Inequality

Social Inequality

Author: Charles E. Hurst

Publisher: Routledge

Published: 2015-10-14

Total Pages: 618

ISBN-13: 1317344235

DOWNLOAD EBOOK

A user-friendly introduction to social inequality. This text is a broad introduction to the many types of inequality– economics, status, political power, sex and gender, sexual orientation, race, and ethnicity– in U.S. society and in a global setting. The author provides a wide range of explanations for inequality and, using the latest research on the multiple impacts of inequality, surveys in detail the personal and social consequences of social inequality. Learning Goals Upon completing this book, readers will be able to: Understand that inequality is multidimensional Understand that it is essential to understand the explanations of the various forms of inequality in order to further a resolution to any inequality’s undesirable consequences Understand the discussion of inequality in its broader, historical cultural and international context


Social Problems and Inequality

Social Problems and Inequality

Author: John Alessio

Publisher: Routledge

Published: 2016-04-01

Total Pages: 322

ISBN-13: 1317053559

DOWNLOAD EBOOK

Social Problems and Inequality explores integrated and root-cause-based explanations of complex social problems. Written in clear and understandable language, allowing it to be used for classroom purposes, it addresses the most fundamental principles of how humans, acting through social units, create, and eventually can remedy, social problems. With a central focus on the problem of inequality and the manner in which this is manifested in crime, social class and stratification, this book examines the key theoretical perspectives relevant to the study and solution of social problems, whilst drawing upon rich illustrations and case studies from the US and Europe to offer a thorough examination of the nature, common root causes and social remedies of social problems. Providing discussions of both theoretical approaches and concrete applications, Social Problems and Inequality investigates the sources of various prejudices and attitudes that contribute to social problems and the associated issues of globalization, economic greed and imperialism. Accessible in style and comprehensive in its coverage, this book will appeal to students and scholars of social problems across the social sciences.