Multidimensional Inequalities
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Multidimensional Inequalities
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Author : Bent Greve
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2021-10-25
Multidimensional Inequalities written by Bent Greve and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-25 with Social Science categories.
Multidimensional Inequalities is a deep dive into the historical contexts and contemporary realities that negatively influence society and its structures. It is often overlooked that inequality is not just about income and wealth but rather a broad spectrum of intersecting factors. This book focuses on each aspect individually, analysing its effect on welfare systems, and informs about the instruments available to reduce inequality.
Advanced Inequalities
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Author : George A. Anastassiou
language : en
Publisher: World Scientific
Release Date : 2011
Advanced Inequalities written by George A. Anastassiou and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.
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.
Analytic Inequalities
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Author : B.G. Pachpatte
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-01-05
Analytic Inequalities written by B.G. Pachpatte 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 2012-01-05 with Mathematics categories.
For more than a century, the study of various types of inequalities has been the focus of great attention by many researchers, interested both in the theory and its applications. In particular, there exists a very rich literature related to the well known Cebysev, Gruss, Trapezoid, Ostrowski, Hadamard and Jensen type inequalities. The present monograph is an attempt to organize recent progress related to the above inequalities, which we hope will widen the scope of their applications. The field to be covered is extremely wide and it is impossible to treat all of these here. The material included in the monograph is recent and hard to find in other books. It is accessible to any reader with a reasonable background in real analysis and an acquaintance with its related areas. All results are presented in an elementary way and the book could also serve as a textbook for an advanced graduate course. The book deserves a warm welcome to those who wish to learn the subject and it will also be most valuable as a source of reference in the field. It will be invaluable reading for mathematicians and engineers and also for graduate students, scientists and scholars wishing to keep abreast of this important area of research.
On Hilbert Type And Hardy Type Integral Inequalities And Applications
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Author : Bicheng Yang
language : en
Publisher: Springer Nature
Release Date : 2019-09-25
On Hilbert Type And Hardy Type Integral Inequalities And Applications written by Bicheng Yang and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-25 with Mathematics categories.
This book is aimed toward graduate students and researchers in mathematics, physics and engineering interested in the latest developments in analytic inequalities, Hilbert-Type and Hardy-Type integral inequalities, and their applications. Theories, methods, and techniques of real analysis and functional analysis are applied to equivalent formulations of Hilbert-type inequalities, Hardy-type integral inequalities as well as their parameterized reverses. Special cases of these integral inequalities across an entire plane are considered and explained. Operator expressions with the norm and some particular analytic inequalities are detailed through several lemmas and theorems to provide an extensive account of inequalities and operators.
Hilbert Type And Hardy Type Integral Inequalities In The Whole Plane
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Author : Bicheng Yang
language : en
Publisher: Scientific Research Publishing, Inc. USA
Release Date : 2022-07-19
Hilbert Type And Hardy Type Integral Inequalities In The Whole Plane written by Bicheng Yang and has been published by Scientific Research Publishing, Inc. USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-07-19 with Antiques & Collectibles categories.
Hilbert-type inequalities including Hilbert’s inequalities (built-in 1908), Hardy-Hilbert-type inequalities (built-in 1934), and Yang-Hilbert-type inequalities (built-in 1998) played an important role in analysis and their applications, which are mainly divided into three classes of integral, discrete and half-discrete. In recent twenty years, there are many advances in research on Hilbert-type inequalities, especially in Yang-Hilbert-type inequalities. In this book, applying the weight functions, the parameterized idea, and the techniques of real analysis and functional analysis, we provide three kinds of Hilbert-type and Hardy-type integral inequalities in the whole plane as well as their reverses with parameters, which are extensions of Hilbert-type and Hardy-type integral inequalities in the first quarter. The equivalent forms, the operator expressions, and some equivalent statements of the best possible constant factors related to several parameters are considered. The lemmas and theorems provide an extensive account of these kinds of integral inequalities and operators. There are seven chapters in this book. In Chapter 1, we introduce some recent developments of Hilbert-type integral, discrete, and half-discrete inequalities. In Chapters 2-3, by using the weight function and real analysis, some new Hilbert-type and Hardy-type integral inequalities in the whole plane with the non-homogeneous kernel are given, and the cases of the homogeneous kernel are deduced. The equivalent forms and some equivalent statements of the best possible constant factors related to several parameters are obtained. We also consider the operator expressions as well as the reverses. In Chapters 4-7, the other two kinds of Hilbert-type and Hardy-type integral inequalities in the whole plane are also considered. We hope that this monograph will prove to be useful especially to graduate students of mathematics, physics, and engineering sciences.
Geometric Inequalities
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Author : Yurii D. Burago
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Geometric Inequalities written by Yurii D. Burago 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 2013-03-14 with Mathematics categories.
A 1988 classic, covering Two-dimensional Surfaces; Domains on the Plane and on Surfaces; Brunn-Minkowski Inequality and Classical Isoperimetric Inequality; Isoperimetric Inequalities for Various Definitions of Area; and Inequalities Involving Mean Curvature.
Emerging Patterns And Nature Of Social Inequalities In Rural India
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Author : Supriya Singh
language : en
Publisher: Cambridge Scholars Publishing
Release Date : 2025-01-04
Emerging Patterns And Nature Of Social Inequalities In Rural India written by Supriya Singh and has been published by Cambridge Scholars Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-01-04 with Social Science categories.
The present volume describes the existing nature, forms, and dimensions of economic, political and social inequalities at a micro rural level and compares them with the Indian macrocosm of increasing inequality, with a view to reveal uneven facets of rural India. It will highlight a detailed appraisal of the ever-growing multidimensional inequalities in contemporary rural India in terms of a more synthetic perspective to explain the nature and dynamics of social inequalities. The book highlights how in rural society inequality is not only prevailing but it is being reinforced by many structural factors. The three dimensions of inequality, namely caste, class and power, do not exist in isolation, rather they are interconnected. As far as rural India is concerned, multi-facets of inequality are observable. Overall, the book provides a deep understanding of inequality prevailing at the grassroots level.
On Extended Hardy Hilbert Integral Inequalities And Applications
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Author : Bicheng Yang
language : en
Publisher: World Scientific
Release Date : 2023-02-13
On Extended Hardy Hilbert Integral Inequalities And Applications written by Bicheng Yang and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-02-13 with Mathematics categories.
Hilbert-type inequalities, including Hilbert's inequalities proved in 1908, Hardy-Hilbert-type inequalities proved in 1934, and Yang-Hilbert-type inequalities first proved around 1998, play an important role in analysis and its applications. These inequalities are mainly divided in three classes: integral, discrete and half-discrete. During the last twenty years, there have been many research advances on Hilbert-type inequalities, and especially on Yang-Hilbert-type inequalities.In the present monograph, applying weight functions, the idea of parametrization as well as techniques of real analysis and functional analysis, we prove some new Hilbert-type integral inequalities as well as their reverses with parameters. These inequalities constitute extensions of the well-known Hardy-Hilbert integral inequality. The equivalent forms and some equivalent statements of the best possible constant factors associated with several parameters are considered. Furthermore, we also obtain the operator expressions with the norm and some particular inequalities involving the Riemann-zeta function and the Hurwitz-zeta function. In the form of applications, by means of the beta function and the gamma function, we use the extended Hardy-Hilbert integral inequalities to consider several Hilbert-type integral inequalities involving derivative functions and upper limit functions. In the last chapter, we consider the case of Hardy-type integral inequalities. The lemmas and theorems within provide an extensive account of these kinds of integral inequalities and operators.Efforts have been made for this monograph hopefully to be useful, especially to graduate students of mathematics, physics and engineering, as well as researchers in these domains.
Changing Structures Of Inequality
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Author : Yannick Lemel
language : en
Publisher: McGill-Queen's Press - MQUP
Release Date : 2002
Changing Structures Of Inequality written by Yannick Lemel and has been published by McGill-Queen's Press - MQUP this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Social Science categories.
The international sociological community has engaged recently in a controversial discussion on social inequality. There is a vigourous debate on whether the traditional concepts of social class and social stratification are still useful. Some researchers argue that social classes still offer a key explanation to social inequalities while others challenge the long-standing tradition of class analysis. New approaches have been proposed to describe recent social changes in the stratification system: vanishing middle class, two-thirds societies, cosmographic inequality, and classless society, among others.
Inequalities For Finite Difference Equations
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Author : B.G. Pachpatte
language : en
Publisher: CRC Press
Release Date : 2001-12-13
Inequalities For Finite Difference Equations written by B.G. Pachpatte and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-12-13 with Mathematics categories.
"A treatise on finite difference ineuqalities that have important applications to theories of various classes of finite difference and sum-difference equations, including several linear and nonlinear finite difference inequalities appearing for the first time in book form."