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Recent Progress in Inequalities

Recent Progress in Inequalities
Author: G.V. Milovanovic
Publisher: Springer Science & Business Media
Total Pages: 518
Release: 2013-03-14
Genre: Mathematics
ISBN: 9401590869

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This volume is dedicated to the late Professor Dragoslav S. Mitrinovic(1908-1995), one of the most accomplished masters in the domain of inequalities. Inequalities are to be found everywhere and play an important and significant role in almost all subjects of mathematics as well as in other areas of sciences. Professor Mitrinovic used to say: `There are no equalities, even in human life inequalities are always encountered.' This volume provides an extensive survey of the most current topics in almost all subjects in the field of inequalities, written by 85 outstanding scientists from twenty countries. Some of the papers were presented at the International Memorial Conference dedicated to Professor D.S. Mitrinovic, which was held at the University of Nis, June 20-22, 1996. Audience: This book will be of great interest to researchers in real, complex and functional analysis, special functions, approximation theory, numerical analysis and computation, and other fields, as well as to graduate students requiring the most up-to-date results.


Recent Progress in Computational Sciences and Engineering (2 vols)

Recent Progress in Computational Sciences and Engineering (2 vols)
Author: Theodore Simos
Publisher: CRC Press
Total Pages: 1600
Release: 2019-05-07
Genre: Computers
ISBN: 1466564512

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This volume brings together selected contributed papers presented at the International Conference of Computational Methods in Science and Engineering (ICCMSE 2006), held in Chania, Greece, October 2006. The conference aims to bring together computational scientists from several disciplines in order to share methods and ideas. The ICCMSE is unique in its kind. It regroups original contributions from all fields of the traditional Sciences, Mathematics, Physics, Chemistry, Biology, Medicine and all branches of Engineering. It would be perhaps more appropriate to define the ICCMSE as a conference on computational science and its applications to science and engineering. Topics of general interest are: Computational Mathematics, Theoretical Physics and Theoretical Chemistry. Computational Engineering and Mechanics, Computational Biology and Medicine, Computational Geosciences and Meteorology, Computational Economics and Finance, Scientific Computation. High Performance Computing, Parallel and Distributed Computing, Visualization, Problem Solving Environments, Numerical Algorithms, Modelling and Simulation of Complex System, Web-based Simulation and Computing, Grid-based Simulation and Computing, Fuzzy Logic, Hybrid Computational Methods, Data Mining, Information Retrieval and Virtual Reality, Reliable Computing, Image Processing, Computational Science and Education etc. More than 800 extended abstracts have been submitted for consideration for presentation in ICCMSE 2005. From these 500 have been selected after international peer review by at least two independent reviewers.


Hardy Inequalities on Homogeneous Groups

Hardy Inequalities on Homogeneous Groups
Author: Michael Ruzhansky
Publisher: Springer
Total Pages: 579
Release: 2019-07-02
Genre: Mathematics
ISBN: 303002895X

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This open access book provides an extensive treatment of Hardy inequalities and closely related topics from the point of view of Folland and Stein's homogeneous (Lie) groups. The place where Hardy inequalities and homogeneous groups meet is a beautiful area of mathematics with links to many other subjects. While describing the general theory of Hardy, Rellich, Caffarelli-Kohn-Nirenberg, Sobolev, and other inequalities in the setting of general homogeneous groups, the authors pay particular attention to the special class of stratified groups. In this environment, the theory of Hardy inequalities becomes intricately intertwined with the properties of sub-Laplacians and subelliptic partial differential equations. These topics constitute the core of this book and they are complemented by additional, closely related topics such as uncertainty principles, function spaces on homogeneous groups, the potential theory for stratified groups, and the potential theory for general Hörmander's sums of squares and their fundamental solutions. This monograph is the winner of the 2018 Ferran Sunyer i Balaguer Prize, a prestigious award for books of expository nature presenting the latest developments in an active area of research in mathematics. As can be attested as the winner of such an award, it is a vital contribution to literature of analysis not only because it presents a detailed account of the recent developments in the field, but also because the book is accessible to anyone with a basic level of understanding of analysis. Undergraduate and graduate students as well as researchers from any field of mathematical and physical sciences related to analysis involving functional inequalities or analysis of homogeneous groups will find the text beneficial to deepen their understanding.


Analytic Inequalities

Analytic Inequalities
Author: B.G. Pachpatte
Publisher: Springer Science & Business Media
Total Pages: 310
Release: 2012-01-05
Genre: Mathematics
ISBN: 9491216449

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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.


Inequality and Progress

Inequality and Progress
Author: George Harris
Publisher:
Total Pages: 20
Release: 1897
Genre: Equality
ISBN:

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Reducing Inequalities

Reducing Inequalities
Author: Rémi Genevey
Publisher: The Energy and Resources Institute (TERI)
Total Pages: 274
Release: 2013-01-01
Genre: Architecture
ISBN: 8179935302

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The reduction of inequalities within and between countries stands as a policy goal, and deserves to take centre stage in the design of the Sustainable Development Goals agreed during the Rio+20 Summit in 2012.The 2013 edition of A Planet for Life represents a unique international initiative grounded on conceptual and strategic thinking, and – most importantly – empirical experiments, conducted on five continents and touching on multiple realities. This unprecedented collection of works proposes a solid empirical approach, rather than an ideological one, to inform future debate.The case studies collected in this volume demonstrate the complexity of the new systems required to accommodate each country's specific economic, political and cultural realities. These systems combine technical, financial, legal, fiscal and organizational elements with a great deal of applied expertise, and are articulated within a clear, well-understood, growth- and job-generating development strategy.Inequality reduction does not occur by decree; neither does it automatically arise through economic growth, nor through policies that equalize incomes downward via ill conceived fiscal policies. Inequality reduction involves a collaborative effort that must motivate all concerned parties, one that constitutes a genuine political and social innovation, and one that often runs counter to prevailing political and economic forces.


Extremal Problems and Inequalities of Markov-Bernstein Type for Algebraic Polynomials

Extremal Problems and Inequalities of Markov-Bernstein Type for Algebraic Polynomials
Author: Robert B. Gardner
Publisher: Elsevier
Total Pages: 442
Release: 2022-02-15
Genre: Mathematics
ISBN: 0128119888

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Bernstein-type Inequalities for Polynomials and Rational Functions is an integrated, powerful and clear presentation of the emergent field in approximation theory. It presents a unified description of solution norms relevant to complex polynomials, rational functions and exponential functions. Primarily for graduate students and first year PhDs, this book is useful for any researcher exploring problems which require derivative estimates. It is particularly useful for those studying inverse problems in approximation theory. Applies Bernstein-type Inequalities to any problem where derivative estimates are necessary Presents complex math in a clean and simple way, progressing readers from polynomials into rational functions Contains exhaustive references with thousands of citations to articles and books Features methods to solve inverse problems across approximation theory Includes open problems for further research


The Return of Inequality

The Return of Inequality
Author: Mike Savage
Publisher: Harvard University Press
Total Pages: 449
Release: 2021-05-18
Genre: Social Science
ISBN: 0674259645

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A pioneering book that takes us beyond economic debate to show how inequality is returning us to a past dominated by empires, dynastic elites, and ethnic divisions. The economic facts of inequality are clear. The rich have been pulling away from the rest of us for years, and the super-rich have been pulling away from the rich. More and more assets are concentrated in fewer and fewer hands. Mainstream economists say we need not worry; what matters is growth, not distribution. In The Return of Inequality, acclaimed sociologist Mike Savage pushes back, explaining inequality’s profound deleterious effects on the shape of societies. Savage shows how economic inequality aggravates cultural, social, and political conflicts, challenging the coherence of liberal democratic nation-states. Put simply, severe inequality returns us to the past. By fracturing social bonds and harnessing the democratic process to the strategies of a resurgent aristocracy of the wealthy, inequality revives political conditions we thought we had moved beyond: empires and dynastic elites, explosive ethnic division, and metropolitan dominance that consigns all but a few cities to irrelevance. Inequality, in short, threatens to return us to the very history we have been trying to escape since the Age of Revolution. Westerners have been slow to appreciate that inequality undermines the very foundations of liberal democracy: faith in progress and trust in the political community’s concern for all its members. Savage guides us through the ideas of leading theorists of inequality, including Marx, Bourdieu, and Piketty, revealing how inequality reimposes the burdens of the past. At once analytically rigorous and passionately argued, The Return of Inequality is a vital addition to one of our most important public debates.


Inequalities for Differential and Integral Equations

Inequalities for Differential and Integral Equations
Author:
Publisher: Elsevier
Total Pages: 623
Release: 1997-11-12
Genre: Mathematics
ISBN: 0080534643

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Inequalities for Differential and Integral Equations has long been needed; it contains material which is hard to find in other books. Written by a major contributor to the field, this comprehensive resource contains many inequalities which have only recently appeared in the literature and which can be used as powerful tools in the development of applications in the theory of new classes of differential and integral equations. For researchers working in this area, it will be a valuable source of reference and inspiration. It could also be used as the text for an advanced graduate course. Covers a variety of linear and nonlinear inequalities which find widespread applications in the theory of various classes of differential and integral equations Contains many inequalities which have only recently appeared in literature and cannot yet be found in other books Provides a valuable reference to engineers and graduate students