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Inequalities Theory Of Majorization And Its Applications


Inequalities Theory Of Majorization And Its Applications
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Inequalities


Inequalities
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Author : Ingram Olkin
language : en
Publisher: Academic Press
Release Date : 2014-06-28

Inequalities written by Ingram Olkin and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-28 with Mathematics categories.


Although they play a fundamental role in nearly all branches of mathematics, inequalities are usually obtained by ad hoc methods rather than as consequences of some underlying "theory of inequalities." For certain kinds of inequalities, the notion of majorization leads to such a theory that is sometimes extremely useful and powerful for deriving inequalities. Moreover, the derivation of an inequality by methods of majorization is often very helpful both for providing a deeper understanding and for suggesting natural generalizations.Anyone wishing to employ majorization as a tool in applications can make use of the theorems; for the most part, their statements are easily understood.



Inequalities Theory Of Majorization And Its Applications


Inequalities Theory Of Majorization And Its Applications
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Author : Albert W. Marshall
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-11-25

Inequalities Theory Of Majorization And Its Applications written by Albert W. Marshall and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-11-25 with Mathematics categories.


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.



Inequalities Theory Of Majorization And Its Applications


Inequalities Theory Of Majorization And Its Applications
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Author : Albert W. Marshall
language : en
Publisher: Springer
Release Date : 2010-12-03

Inequalities Theory Of Majorization And Its Applications written by Albert W. Marshall and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-03 with Mathematics categories.


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.



General Inequalities 3


General Inequalities 3
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Author : BECKENBACH
language : en
Publisher: Birkhäuser
Release Date : 2013-11-21

General Inequalities 3 written by BECKENBACH and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-21 with Social Science categories.




Matrix Inequalities


Matrix Inequalities
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Author : Xingzhi Zhan
language : en
Publisher: Springer
Release Date : 2004-10-19

Matrix Inequalities written by Xingzhi Zhan and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10-19 with Mathematics categories.


The main purpose of this monograph is to report on recent developments in the field of matrix inequalities, with emphasis on useful techniques and ingenious ideas. Among other results this book contains the affirmative solutions of eight conjectures. Many theorems unify or sharpen previous inequalities. The author's aim is to streamline the ideas in the literature. The book can be read by research workers, graduate students and advanced undergraduates.



The Cauchy Schwarz Master Class


The Cauchy Schwarz Master Class
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Author : J. Michael Steele
language : en
Publisher: Cambridge University Press
Release Date : 2004-04-26

The Cauchy Schwarz Master Class written by J. Michael Steele and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-04-26 with Mathematics categories.


This lively, problem-oriented text, first published in 2004, is designed to coach readers toward mastery of the most fundamental mathematical inequalities. With the Cauchy-Schwarz inequality as the initial guide, the reader is led through a sequence of fascinating problems whose solutions are presented as they might have been discovered - either by one of history's famous mathematicians or by the reader. The problems emphasize beauty and surprise, but along the way readers will find systematic coverage of the geometry of squares, convexity, the ladder of power means, majorization, Schur convexity, exponential sums, and the inequalities of Hölder, Hilbert, and Hardy. The text is accessible to anyone who knows calculus and who cares about solving problems. It is well suited to self-study, directed study, or as a supplement to courses in analysis, probability, and combinatorics.



Information Computing And Applications Part Ii


Information Computing And Applications Part Ii
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Author : Chunfeng Liu
language : en
Publisher: Springer
Release Date : 2011-12-18

Information Computing And Applications Part Ii written by Chunfeng Liu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-12-18 with Computers categories.


The two-volume set, CCIS 243 and CCIS 244, constitutes the refereed proceedings of the Second International Conference on Information Computing and Applications, ICICA 2010, held in Qinhuangdao, China, in October 2011. The 191 papers presented in both volumes were carefully reviewed and selected from numerous submissions. They are organized in topical sections on computational statistics, social networking and computing, evolutionary computing and applications, information education and application, internet and web computing, scientific and engineering computing, system simulation computing, bio-inspired and DNA computing, internet and Web computing, multimedia networking and computing, parallel and distributed computing.



Inequalities In Statistics And Probability


Inequalities In Statistics And Probability
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Author : Yung Liang Tong
language : en
Publisher: IMS
Release Date : 1984

Inequalities In Statistics And Probability written by Yung Liang Tong and has been published by IMS this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Mathematics categories.




Integral Inequalities And Generalized Convexity


Integral Inequalities And Generalized Convexity
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Author : Shashi Kant Mishra
language : en
Publisher: CRC Press
Release Date : 2023-09-18

Integral Inequalities And Generalized Convexity written by Shashi Kant Mishra and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-18 with Mathematics categories.


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.



Inequality Polarization And Poverty


Inequality Polarization And Poverty
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Author : Satya R. Chakravarty
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-07-25

Inequality Polarization And Poverty written by Satya R. Chakravarty and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-25 with Business & Economics categories.


This book provides a synthesis of some recent issues and an up-to-date treatment of some of the major important issues in distributional analysis that I have covered in my previous book Ethical Social Index Numbers, which was widely accepted by students, teachers, researchers and practitioners in the area. Wide coverage of on-going and advanced topics and their analytical, articulate and authoritative p- sentation make the book theoretically and methodologically quite contemporary and inclusive, and highly responsive to the practical problems of recent concern. Since many countries of the world are still characterized by high levels of income inequality, Chap. 1 analyzes the problems of income inequality measurement in detail. Poverty alleviation is an overriding goal of development and social policy. To formulate antipoverty policies, research on poverty has mostly focused on inco- based indices. In view of this, a substantive analysis of income-based poverty has been presented in Chap. 2. The subject of Chap. 3 is people’s perception about income inequality in terms of deprivation. Since polarization is of current concern to analysts and social decisi- makers, a discussion on polarization is presented in Chap. 4.