Inequality Theory and Applications.
Author:
Publisher: Nova Publishers
Published: 2007
Total Pages: 202
ISBN-13: 9781594548758
DOWNLOAD EBOOKPosts
Inequality Theory and Applications
Author: Yeol Je Cho
Publisher: Nova Publishers
Published: 2007
Total Pages: 200
ISBN-13: 9781594548741
DOWNLOAD EBOOKThe 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
Author: Albert W. Marshall
Publisher: Springer Science & Business Media
Published: 2010-11-25
Total Pages: 919
ISBN-13: 0387682767
DOWNLOAD EBOOKThis 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.
Integral Inequalities and Applications
Author: D.D. Bainov
Publisher: Springer Science & Business Media
Published: 2013-04-18
Total Pages: 254
ISBN-13: 9401580340
DOWNLOAD EBOOKThis 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.
Differential and Integral Inequalities
Author: Dorin Andrica
Publisher: Springer Nature
Published: 2019-11-14
Total Pages: 848
ISBN-13: 3030274071
DOWNLOAD EBOOKTheories, 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.
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 EBOOKThis 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.
Approximation Theory and Analytic Inequalities
Author: Themistocles M. Rassias
Publisher: Springer Nature
Published: 2021-07-21
Total Pages: 546
ISBN-13: 3030606228
DOWNLOAD EBOOKThis 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.
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 EBOOK2007 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
Author: Charles E. Hurst
Publisher: Routledge
Published: 2015-10-14
Total Pages: 618
ISBN-13: 1317344235
DOWNLOAD EBOOKA 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
Matrices
Author: Denis Serre
Publisher: Springer Science & Business Media
Published: 2010-10-26
Total Pages: 291
ISBN-13: 1441976833
DOWNLOAD EBOOKIn this book, Denis Serre begins by providing a clean and concise introduction to the basic theory of matrices. He then goes on to give many interesting applications of matrices to different aspects of mathematics and also other areas of science and engineering. With forty percent new material, this second edition is significantly different from the first edition. Newly added topics include: • Dunford decomposition, • tensor and exterior calculus, polynomial identities, • regularity of eigenvalues for complex matrices, • functional calculus and the Dunford–Taylor formula, • numerical range, • Weyl's and von Neumann’s inequalities, and • Jacobi method with random choice. The book mixes together algebra, analysis, complexity theory and numerical analysis. As such, this book will provide many scientists, not just mathematicians, with a useful and reliable reference. It is intended for advanced undergraduate and graduate students with either applied or theoretical goals. This book is based on a course given by the author at the École Normale Supérieure de Lyon.
