Inequalities and Applications 2010

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Publisher : Springer Science & Business Media
ISBN 13 : 3034802498
Total Pages : 274 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Inequalities and Applications 2010 by : Catherine Bandle

Download or read book Inequalities and Applications 2010 written by Catherine Bandle and published by Springer Science & Business Media. This book was released on 2012-05-26 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inequalities arise as an essential component in various mathematical areas. Besides forming a highly important collection of tools, e.g. for proving analytic or stochastic theorems or for deriving error estimates in numerical mathematics, they constitute a challenging research field of their own. Inequalities also appear directly in mathematical models for applications in science, engineering, and economics. This edited volume covers divers aspects of this fascinating field. It addresses classical inequalities related to means or to convexity as well as inequalities arising in the field of ordinary and partial differential equations, like Sobolev or Hardy-type inequalities, and inequalities occurring in geometrical contexts. Within the last five decades, the late Wolfgang Walter has made great contributions to the field of inequalities. His book on differential and integral inequalities was a real breakthrough in the 1970’s and has generated a vast variety of further research in this field. He also organized six of the seven “General Inequalities” Conferences held at Oberwolfach between 1976 and 1995, and co-edited their proceedings. He participated as an honorary member of the Scientific Committee in the “General Inequalities 8” conference in Hungary. As a recognition of his great achievements, this volume is dedicated to Wolfgang Walter’s memory. The “General Inequalities” meetings found their continuation in the “Conferences on Inequalities and Applications” which, so far, have been held twice in Hungary. This volume contains selected contributions of participants of the second conference which took place in Hajdúszoboszló in September 2010, as well as additional articles written upon invitation. These contributions reflect many theoretical and practical aspects in the field of inequalities, and will be useful for researchers and lecturers, as well as for students who want to familiarize themselves with the area.

Integral Inequalities and Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 9401580340
Total Pages : 254 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Integral Inequalities and Applications by : D.D. Bainov

Download or read book Integral Inequalities and Applications written by D.D. Bainov and published by Springer Science & Business Media. This book was released on 2013-04-18 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Inequalities: Theory of Majorization and Its Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 0387682767
Total Pages : 919 pages
Book Rating : 4.3/5 (876 download)

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Book Synopsis Inequalities: Theory of Majorization and Its Applications by : Albert W. Marshall

Download or read book Inequalities: Theory of Majorization and Its Applications written by Albert W. Marshall and published by Springer Science & Business Media. This book was released on 2010-11-25 with total page 919 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Functional Equations and Inequalities with Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 0387894926
Total Pages : 817 pages
Book Rating : 4.3/5 (878 download)

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Book Synopsis Functional Equations and Inequalities with Applications by : Palaniappan Kannappan

Download or read book Functional Equations and Inequalities with Applications written by Palaniappan Kannappan and published by Springer Science & Business Media. This book was released on 2009-06-10 with total page 817 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Opial Inequalities with Applications in Differential and Difference Equations

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Publisher :
ISBN 13 : 9789401584272
Total Pages : 412 pages
Book Rating : 4.5/5 (842 download)

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Book Synopsis Opial Inequalities with Applications in Differential and Difference Equations by : R. P. Agarwal

Download or read book Opial Inequalities with Applications in Differential and Difference Equations written by R. P. Agarwal and published by . This book was released on 2014-01-15 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Classical and New Inequalities in Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 9401710430
Total Pages : 739 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Classical and New Inequalities in Analysis by : Dragoslav S. Mitrinovic

Download or read book Classical and New Inequalities in Analysis written by Dragoslav S. Mitrinovic and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 739 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Inequalities

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Publisher : CRC Press
ISBN 13 : 1439848971
Total Pages : 394 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Mathematical Inequalities by : Pietro Cerone

Download or read book Mathematical Inequalities written by Pietro Cerone and published by CRC Press. This book was released on 2010-12-01 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: Drawing on the authors' research work from the last ten years, Mathematical Inequalities: A Perspective gives readers a different viewpoint of the field. It discusses the importance of various mathematical inequalities in contemporary mathematics and how these inequalities are used in different applications, such as scientific modeling.The authors

Ostrowski Type Inequalities and Applications in Numerical Integration

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Publisher : Springer Science & Business Media
ISBN 13 : 9401725195
Total Pages : 491 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Ostrowski Type Inequalities and Applications in Numerical Integration by : Sever S. Dragomir

Download or read book Ostrowski Type Inequalities and Applications in Numerical Integration written by Sever S. Dragomir and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Hardy-Type Inequalities

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Publisher :
ISBN 13 : 9780608035987
Total Pages : 351 pages
Book Rating : 4.0/5 (359 download)

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Book Synopsis Hardy-Type Inequalities by : B. Opic

Download or read book Hardy-Type Inequalities written by B. Opic and published by . This book was released on 1990-01-01 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fractional Differentiation Inequalities

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Publisher : Springer Science & Business Media
ISBN 13 : 0387981284
Total Pages : 672 pages
Book Rating : 4.3/5 (879 download)

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Book Synopsis Fractional Differentiation Inequalities by : George A. Anastassiou

Download or read book Fractional Differentiation Inequalities written by George A. Anastassiou and published by Springer Science & Business Media. This book was released on 2009-05-28 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book the author presents the Opial, Poincaré, Sobolev, Hilbert, and Ostrowski fractional differentiation inequalities. Results for the above are derived using three different types of fractional derivatives, namely by Canavati, Riemann-Liouville and Caputo. The univariate and multivariate cases are both examined. Each chapter is self-contained. The theory is presented systematically along with the applications. The application to information theory is also examined. This monograph is suitable for researchers and graduate students in pure mathematics. Applied mathematicians, engineers, and other applied scientists will also find this book useful.

Probabilistic Inequalities

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Publisher : World Scientific
ISBN 13 : 9814467138
Total Pages : 429 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Probabilistic Inequalities by : George A Anastassiou

Download or read book Probabilistic Inequalities written by George A Anastassiou and published by World Scientific. This book was released on 2009-08-11 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this monograph, the author presents univariate and multivariate probabilistic inequalities with coverage on basic probabilistic entities like expectation, variance, moment generating function and covariance. These are built on the recent classical form of real analysis inequalities which are also discussed in full details. This treatise is the culmination and crystallization of the author's last two decades of research work in related discipline. Each of the chapters is self-contained and a few advanced courses can be taught out of this book. Extensive background and motivations for specific topics are given in each chapter. A very extensive list of references is also provided at the end.The topics covered in this unique book are wide-ranging and diverse. The opening chapters examine the probabilistic Ostrowski type inequalities, and various related ones, as well as the largely discusses about the Grothendieck type probabilistic inequalities. The book is also about inequalities in information theory and the Csiszar's f-Divergence between probability measures. A great section of the book is also devoted to the applications in various directions of Geometry Moment Theory. Also, the development of the Grüss type and Chebyshev-Grüss type inequalities for Stieltjes integrals and the applications in probability are explored in detail. The final chapters discuss the important real analysis methods with potential applications to stochastics. The book will be of interest to researchers and graduate students, and it is also seen as an invaluable reference book to be acquired by all science libraries as well as seminars that conduct discussions on related topics.

Advanced Inequalities

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Publisher : World Scientific
ISBN 13 : 9814317624
Total Pages : 423 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis Advanced Inequalities by : George A. Anastassiou

Download or read book Advanced Inequalities written by George A. Anastassiou and published by World Scientific. This book was released on 2011 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Functional Equations, Inequalities and Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 9781402015786
Total Pages : 244 pages
Book Rating : 4.0/5 (157 download)

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Book Synopsis Functional Equations, Inequalities and Applications by : Themistocles M. Rassias

Download or read book Functional Equations, Inequalities and Applications written by Themistocles M. Rassias and published by Springer Science & Business Media. This book was released on 2003-09-30 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Analytic Inequalities

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Publisher : Courier Corporation
ISBN 13 : 0486798178
Total Pages : 99 pages
Book Rating : 4.4/5 (867 download)

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Book Synopsis Analytic Inequalities by : Nicholas D. Kazarinoff

Download or read book Analytic Inequalities written by Nicholas D. Kazarinoff and published by Courier Corporation. This book was released on 2014-08-19 with total page 99 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical analysis is largely a systematic study and exploration of inequalities — but for students the study of inequalities often remains a foreign country, difficult of access. This book is a passport to that country, offering a background on inequalities that will prepare undergraduates (and even high school students) to cope with the concepts of continuity, derivative, and integral. Beginning with explanations of the algebra of inequalities and conditional inequalities, the text introduces a pair of ancient theorems and their applications. Explorations of inequalities and calculus cover the number e, examples from the calculus, and approximations by polynomials. The final sections present modern theorems, including Bernstein's proof of the Weierstrass approximation theorem and the Cauchy, Bunyakovskii, Hölder, and Minkowski inequalities. Numerous figures, problems, and examples appear throughout the book, offering students an excellent foundation for further studies of calculus.

Improving the Measurement of Consumer Expenditures

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Publisher : University of Chicago Press
ISBN 13 : 022612665X
Total Pages : 517 pages
Book Rating : 4.2/5 (261 download)

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Book Synopsis Improving the Measurement of Consumer Expenditures by : Christopher D. Carroll

Download or read book Improving the Measurement of Consumer Expenditures written by Christopher D. Carroll and published by University of Chicago Press. This book was released on 2015-06-16 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: Robust and reliable measures of consumer expenditures are essential for analyzing aggregate economic activity and for measuring differences in household circumstances. Many countries, including the United States, are embarking on ambitious projects to redesign surveys of consumer expenditures, with the goal of better capturing economic heterogeneity. This is an appropriate time to examine the way consumer expenditures are currently measured, and the challenges and opportunities that alternative approaches might present. Improving the Measurement of Consumer Expenditures begins with a comprehensive review of current methodologies for collecting consumer expenditure data. Subsequent chapters highlight the range of different objectives that expenditure surveys may satisfy, compare the data available from consumer expenditure surveys with that available from other sources, and describe how the United States’s current survey practices compare with those in other nations.

Golden Years?

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Publisher : Russell Sage Foundation
ISBN 13 : 1610448774
Total Pages : 377 pages
Book Rating : 4.6/5 (14 download)

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Book Synopsis Golden Years? by : Deborah Carr

Download or read book Golden Years? written by Deborah Carr and published by Russell Sage Foundation. This book was released on 2019-01-22 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thanks to advances in technology, medicine, Social Security, and Medicare, old age for many Americans is characterized by comfortable retirement, good health, and fulfilling relationships. But there are also millions of people over 65 who struggle with poverty, chronic illness, unsafe housing, social isolation, and mistreatment by their caretakers. What accounts for these disparities among older adults? Sociologist Deborah Carr’s Golden Years? draws insights from multiple disciplines to illuminate the complex ways that socioeconomic status, race, and gender shape the nearly every aspect of older adults’ lives. By focusing on an often-invisible group of vulnerable elders, Golden Years? reveals that disadvantages accumulate across the life course and can diminish the well-being of many. Carr connects research in sociology, psychology, epidemiology, gerontology, and other fields to explore the well-being of older adults. On many indicators of physical health, such as propensity for heart disease or cancer, black seniors fare worse than whites due to lifetimes of exposure to stressors such as economic hardships and racial discrimination and diminished access to health care. In terms of mental health, Carr finds that older women are at higher risk of depression and anxiety than men, yet older men are especially vulnerable to suicide, a result of complex factors including the rigid masculinity expectations placed on this generation of men. Carr finds that older adults’ physical and mental health are also closely associated with their social networks and the neighborhoods in which they live. Even though strong relationships with spouses, families, and friends can moderate some of the health declines associated with aging, women—and especially women of color—are more likely than men to live alone and often cannot afford home health care services, a combination that can be isolating and even fatal. Finally, social inequalities affect the process of dying itself, with white and affluent seniors in a better position to convey their end-of-life preferences and use hospice or palliative care than their disadvantaged peers. Carr cautions that rising economic inequality, the lingering impact of the Great Recession, and escalating rates of obesity and opioid addiction, among other factors, may contribute to even greater disparities between the haves and the have-nots in future cohorts of older adults. She concludes that policies, such as income supplements for the poorest older adults, expanded paid family leave, and universal health care could ameliorate or even reverse some disparities. A comprehensive analysis of the causes and consequences of later-life inequalities, Golden Years? demonstrates the importance of increased awareness, strong public initiatives, and creative community-based programs in ensuring that all Americans have an opportunity to age well.

Inequalities

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Publisher : Academic Press
ISBN 13 : 0080959970
Total Pages : 590 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Inequalities by : Ingram Olkin

Download or read book Inequalities written by Ingram Olkin and published by Academic Press. This book was released on 2014-06-28 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.