Multidimensional Inequalities

Multidimensional Inequalities
Author: Bent Greve
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 185
Release: 2021-10-25
Genre: Social Science
ISBN: 311071437X

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.

Multidimensional Integral Equations and Inequalities

Multidimensional Integral Equations and Inequalities
Author: B.G. Pachpatte
Publisher: Springer Science & Business Media
Total Pages: 248
Release: 2011-07-26
Genre: Mathematics
ISBN: 9491216171

Since from more than a century, the study of various types of integral equations and inequalities has been focus of great attention by many researchers, interested both in theory and its applications. In particular, there exists a very rich literature related to the integral equations and inequalities and their applications. The present monograph is an attempt to organize recent progress related to the Multidimensional integral equations and inequalities, which we hope will widen the scope of their new applications. The field to be covered is extremely wide and it is nearly impossible to treat all of them here. The material included in the monograph is recent and hard to find in other books. It is accessible to any reader with reasonable background in real analysis and 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 an invaluable reading for mathematicians, physicists and engineers and also for graduate students, scientists and scholars wishing to keep abreast of this important area of research.

Multidimensional Inequalities

Multidimensional Inequalities
Author: Bent Greve
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 179
Release: 2021-10-25
Genre: Social Science
ISBN: 3110714302

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

Advanced Inequalities
Author: George A. Anastassiou
Publisher: World Scientific
Total Pages: 423
Release: 2011
Genre: Mathematics
ISBN: 9814317624

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.

Parameterized Multidimensional Hilbert-Type Inequalities

Parameterized Multidimensional Hilbert-Type Inequalities
Author: Bicheng Yang
Publisher: Scientific Research Publishing, Inc. USA
Total Pages: 273
Release: 2020-04-27
Genre: Antiques & Collectibles
ISBN: 1618968262

In 1934, G. H. Hardy et al. published a famous book entitled “Inequalities”, in which a theory about Hardy-Hilbert-type inequalities with the general homogeneous kernels of degree-1 and the best possible constant factors was built by introducing one pair of conjugate exponents. In January 2009, for generalized theory of Hardy-Hilbert-type inequalities, a book entitled “The Norm of Operator and Hilbert-Type Inequalities” (by Bicheng Yang) was published by Science Press of China, which considered the theory of Hilbert-type inequalities and operators with the homogeneous kernels of degree negative numbers and the best possible constant factors, by introducing two pairs of conjugate exponents and a few independent parameters. In October 2009 and January 2011, two books entitled “Hilbert-Type Integral Inequalities” and “Discrete Hilbert-Type Inequalities” (by Bicheng Yang) were published by Bentham Science Publishers Ltd., which considered mainly Hilbert-type integral and discrete inequalities with the homogeneous kernels of degree real numbers and applications. In 2012, a book entitled “Nonlinear Analysis: Stability, Approximation, and Inequality” was published by Springer, which contained Chapter 42 entitled “Hilbert-Type Operator: Norms and Inequalities” (by Bicheng Yang). In this chapter, the author defined a general Yang-Hilbert-type integral operator and studied six particular kinds of this operator with different measurable kernels in several normed spaces. In 2014, a book entitled “Half-Discrete Hilbert-Type Inequalities” was published in World Scientific Publishing Co. Pte. Ltd. (in Singapore), in which, the authors Bicheng Yang and L. Debnath considered some kinds of half-discrete Yang-Hilbert-type inequalities and their applications. In a word, the theory of Hilbert-type integral, discrete and half- discrete inequalities is almost built by Bicheng Yang et al. in the above stated books.

Analyzing Gender, Intersectionality, and Multiple Inequalities

Analyzing Gender, Intersectionality, and Multiple Inequalities
Author: Esther Ngan-Ling Chow
Publisher: Emerald Group Publishing
Total Pages: 325
Release: 2011-06-09
Genre: Social Science
ISBN: 0857247441

Includes papers presented at the conference "Gender and Social Transformation: Global, Transnational, and Local Realities and Perspectives", Beijing, China in 2009. This title addresses topics such as: divisions of labor, migration, war and peace-building.

On Hilbert-Type and Hardy-Type Integral Inequalities and Applications

On Hilbert-Type and Hardy-Type Integral Inequalities and Applications
Author: Bicheng Yang
Publisher: Springer Nature
Total Pages: 145
Release: 2019-09-25
Genre: Mathematics
ISBN: 3030292681

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.

Persistence and Emergencies of Inequalities in Latin America

Persistence and Emergencies of Inequalities in Latin America
Author: Pablo Vommaro
Publisher: Springer Nature
Total Pages: 277
Release: 2022-02-21
Genre: Social Science
ISBN: 3030904954

This book adopts a multidimensional approach to analyze both the historical and emerging factors that contribute to make Latin America and the Caribbean the most unequal region in the world. Social inequality is a historical characteristic of the region, but at the beginning of the 21st century, a handful of progressive governments seemed to be adopting policies that could reduce this historical trend. Many of these efforts, however, were blocked or reversed by the COVID-19 pandemic, which both exposed the persistence of historical trends and contributed to the emergency of new forms of inequality in the region. The different chapters in this contributed volume adopt a multidimensional, intersectional, perspective to analyze both the persistence and the emergency of social devices of production and reproduction of inequalities in the diverse Latin American and Caribbean temporal spatialities. The issues analyzed in the different chapters revolve around four main axes: a) persistence of generational and intergenerational inequalities; b) structural gender inequality; c) intertwined social inequalities: race, class and social structure and; c) historical and economic dimension of inequality. Persistence and Emergencies of Inequalities in Latin America: A Multidimensional Approach will be of interest to researchers interested in the study of social inequality and social justice in different fields of the human and social sciences, such as sociology, political science, history, economics, anthropology and education. It will also be a valuable tool for policy makers and social activists engaged in the discussion, advocacy and implementation of public policies aimed at reducing social inequalities.

Differential and Integral Inequalities

Differential and Integral Inequalities
Author: Wolfgang Walter
Publisher: Springer Science & Business Media
Total Pages: 364
Release: 2012-12-06
Genre: Mathematics
ISBN: 3642864058

In 1964 the author's mono graph "Differential- und Integral-Un gleichungen," with the subtitle "und ihre Anwendung bei Abschätzungs und Eindeutigkeitsproblemen" was published. The present volume grew out of the response to the demand for an English translation of this book. In the meantime the literature on differential and integral in equalities increased greatly. We have tried to incorporate new results as far as possible. As a matter of fact, the Bibliography has been almost doubled in size. The most substantial additions are in the field of existence theory. In Chapter I we have included the basic theorems on Volterra integral equations in Banach space (covering the case of ordinary differential equations in Banach space). Corresponding theorems on differential inequalities have been added in Chapter II. This was done with a view to the new sections; dealing with the line method, in the chapter on parabolic differential equations. Section 35 contains an exposition of this method in connection with estimation and convergence. An existence theory for the general nonlinear parabolic equation in one space variable based on the line method is given in Section 36. This theory is considered by the author as one of the most significant recent applications of in equality methods. We should mention that an exposition of Krzyzanski's method for solving the Cauchy problem has also been added. The numerous requests that the new edition include a chapter on elliptic differential equations have been satisfied to some extent.