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Recent Progress in Inequalities by G.V. Milovanovic Pdf
Presents 33 papers, many of which came from a June 1996 conference held in Yugoslavia in honor of Professor Dragoslav S. Mitrinovic (1908-1995). Representative topics include applications of complex polynomials and maximal ranges, Vietoris's inequalities and hypergeometric series, Shapiro's inequality, the second largest eigenvalue of star-like trees, logarithmic concavity of distribution functions, and inequalities involving harmonic numbers. Of interest to researchers in real, complex and functional analysis, special functions, approximation theory, numerical analysis, as well as to graduate students requiring the latest results in the field. No subject index. Annotation copyrighted by Book News, Inc., Portland, OR
Recent Progress in Inequalities by G.V. Milovanovic Pdf
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.
Hardy Inequalities on Homogeneous Groups by Michael Ruzhansky,Durvudkhan Suragan Pdf
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.
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.
Neoliberalism, Globalization, and Inequalities by Vicente Navarro Pdf
Since U.S. President Reagan and U.K. Prime Minister Thatcher, a major ideology (under the name of economic science) has been expanded worldwide that claims that the best policies to stimulate human development are those that reduce the role of the state in economic and social lives: privatizing public services and public enterprises, deregulating the mobility of capital and labor, eliminating protectionism, and reducing public social protection. This ideology, called 'neoliberalism,' has guided the globalization of economic activity and become the conventional wisdom in international agencies and institutions (such as the IMF, World Bank, World Trade Organization, and the technical agencies of the United Nations, including the WHO). Reproduced in the 'Washington consensus' in the United States and the 'Brussels consensus' in the European Union, this ideology has guided policies widely accepted as the only ones possible and advisable.This book assembles a series of articles that challenge that ideology. Written by well-known scholars, these articles question each of the tenets of neoliberal doctrine, showing how the policies guided by this ideology have adversely affected human development in the countries where they have been implemented.
Reforming Education and Challenging Inequalities in Southern Contexts by Pauline Rose,Madeleine Arnot,Roger Jeffery,Nidhi Singal Pdf
This book offers in-depth analyses of how education interacts with social inequality in Southern contexts. Drawing on a range of disciplinary frameworks, it presents new analyses of existing knowledge and new empirical data which define the challenges and possibilities of successful educational reform. It is a tribute to the work of the late Christopher Colclough, who, as a leading figure in education and international development, played a key role in the global fight for education for all children. The book critically engages with international evidence of educational access, retention and outcomes, offering new understandings of how social inequalities currently facilitate, mediate or restrict educational opportunities. It exposes the continuing influence of wealth and regional inequalities and caste and gendered social structures. Researchers in Ethiopia, Ghana, India, Pakistan and Uganda highlight how the aspirations of families living in poverty remain unfilled by poor-quality education and low economic opportunities and how schools and teachers currently address issues of gender, disability and diversity. The book highlights a range of new priorities for research and identifies some necessary strategies for education reform, policy approaches and school practice, if educational equality for all children is to be achieved. The book will be of great interest to researchers, scholars, educational practitioners and policy-makers in the fields of economics, politics and sociology of education, international education, poverty research and international development. The Foreword, Chapters 1, 6, 7, and 12 of this book are freely available as downloadable Open Access PDFs at https://www.taylorfrancis.com/books/e/9780429293467 under a Creative Commons Attribution-Non Commercial-No Derivatives 4.0 license (Foreword, Chapters 1, 6, and 12) and a Creative Commons Attribution 4.0 license (Chapter 7).
Sharp Martingale and Semimartingale Inequalities by Adam Osękowski Pdf
This monograph is a presentation of a unified approach to a certain class of semimartingale inequalities, which can be regarded as probabilistic extensions of classical estimates for conjugate harmonic functions on the unit disc. The approach, which has its roots in the seminal works of Burkholder in the 80s, enables to deduce a given inequality for semimartingales from the existence of a certain special function with some convex-type properties. Remarkably, an appropriate application of the method leads to the sharp version of the estimate under investigation, which is particularly important for applications. These include the theory of quasiregular mappings (with deep implications to the geometric function theory); the boundedness of two-dimensional Hilbert transform and a more general class of Fourier multipliers; the theory of rank-one convex and quasiconvex functions; and more. The book is divided into a few separate parts. In the introductory chapter we present motivation for the results and relate them to some classical problems in harmonic analysis. The next part contains a general description of the method, which is applied in subsequent chapters to the study of sharp estimates for discrete-time martingales; discrete-time sub- and supermartingales; continuous time processes; the square and maximal functions. Each chapter contains additional bibliographical notes included for reference.
Henry George and the Crisis of Inequality by Edward O'Donnell Pdf
America's remarkable explosion of industrial output and national wealth at the end of the nineteenth century was matched by a troubling rise in poverty and worker unrest. As politicians and intellectuals fought over the causes of this crisis, Henry George (1839–1897) published a radical critique of laissez-faire capitalism and its threat to the nation's republican traditions. Progress and Poverty (1879), which became a surprise best-seller, offered a provocative solution for preserving these traditions while preventing the amassing of wealth in the hands of the few: a single tax on land values. George's writings and years of social activism almost won him the mayor's seat in New York City in 1886. Though he lost the election, his ideas proved instrumental to shaping a popular progressivism that remains essential to tackling inequality today. Edward T. O'Donnell's exploration of George's life and times merges labor, ethnic, intellectual, and political history to illuminate the early militant labor movement in New York during the Gilded Age. He locates in George's rise to prominence the beginning of a larger effort by American workers to regain control of the workplace and obtain economic security and opportunity. The Gilded Age was the first but by no means the last era in which Americans confronted the mixed outcomes of modern capitalism. George's accessible, forward-thinking ideas on democracy, equality, and freedom have tremendous value for contemporary debates over the future of unions, corporate power, Wall Street recklessness, government regulation, and political polarization.
________________ As seen on Sky News All Out Politics ‘There’s no understanding global inequality without understanding its history. In The Divide, Jason Hickel brilliantly lays it out, layer upon layer, until you are left reeling with the outrage of it all.’ - Kate Raworth, author of Doughnut Economics · The richest eight people control more wealth than the poorest half of the world combined. · Today, 60 per cent of the world’s population lives on less than $5 a day. · Though global real GDP has nearly tripled since 1980, 1.1 billion more people are now living in poverty. For decades we have been told a story: that development is working, that poverty is a natural phenomenon and will be eradicated through aid by 2030. But just because it is a comforting tale doesn’t make it true. Poor countries are poor because they are integrated into the global economic system on unequal terms, and aid only helps to hide this. Drawing on pioneering research and years of first-hand experience, The Divide tracks the evolution of global inequality – from the expeditions of Christopher Columbus to the present day – offering revelatory answers to some of humanity’s greatest problems. It is a provocative, urgent and ultimately uplifting account of how the world works, and how it can change for the better.
Inequality in the Developing World by Carlos Gradín,Murray Leibbrandt,Finn Tarp Pdf
Inequality has emerged as a key development challenge. It holds implications for economic growth and redistribution and translates into power asymmetries that can endanger human rights, create conflict, and embed social exclusion and chronic poverty. For these reasons, it underpins intense public and academic debates and has become a dominant policy concern within many countries and in all multilateral agencies. It is at the core of the 17 goals of the UN 2030 Agenda for Sustainable Development. This book contributes to this important discussion by presenting assessments of the measurement and analysis of global inequality by leading inequality scholars, aligning these to comprehensive reviews of inequality trends in five of the world's largest developing countries - Brazil, China, India, Mexico, and South Africa.
The divide between New Zealand’s poorest and wealthiest inhabitants has widened alarmingly over recent decades. Differences in income have grown faster than in most other developed countries. New Zealand society is being reshaped, stretching to accommodate new distance between those who ‘have’ and those who ‘have not’. Income inequality is a crisis that affects us all. A diverse gathering of New Zealand scholars, journalists, researchers, business leaders, workers, students and parents share these pages. Their voices speak to the complex shape of income inequality, and its effects on the communities of these Pacific islands.
The sixthInternational Conference on General Inequalities was held from Dec. 9 to Dec. 15, 1990, at the Mathematisches Forschungsinstitut Oberwolfach (Black Fa rest, Germany). The organizing committee was composed of W.N. Everitt (Birm ingham), L. Losonczi (Debrecen) and W. Walter (Karlsruhe). Dr. A. Kovacec ( Coimbra) served cheerfully and efficiently as secretary of the meeting. The con ference was attended by 44 participants from 20 countries. Yet again the importance of inequalities in both pure and applied mathematics was made evident from the wide range of interests of the individual participants, and from the wealth of new results announced. New inequalities were presented in the usual spread of the subject areas now expected for these meetings: Classical and functional analysis, existence and boundary value problems for both ordinary and partial differential equations, with special contributions to computer science, quantum holography and error analysis. More strongly than ever, the role played by modern electronic computers was made clear in testing out and prohing into the validity and structure of certain inequalities. Here the computer acts not only for numerical calculations of great complexity, but also in symbolic manipulation of complex finite structures. Prob lems in inequalities which even a few years ago were intractable, now fall to solution or receive direct and positive guidance as a result of computer applications. The interface between finite and infinite structures in mathematics and the versatility of modern computers is weil developed in the subject of general inequalities.
Dynamic Systems with Time Delays: Stability and Control by Ju H. Park,Tae H. Lee,Yajuan Liu,Jun Chen Pdf
This book presents up-to-date research developments and novel methodologies to solve various stability and control problems of dynamic systems with time delays. First, it provides the new introduction of integral and summation inequalities for stability analysis of nominal time-delay systems in continuous and discrete time domain, and presents corresponding stability conditions for the nominal system and an applicable nonlinear system. Next, it investigates several control problems for dynamic systems with delays including H(infinity) control problem Event-triggered control problems; Dynamic output feedback control problems; Reliable sampled-data control problems. Finally, some application topics covering filtering, state estimation, and synchronization are considered. The book will be a valuable resource and guide for graduate students, scientists, and engineers in the system sciences and control communities.
The greatest dilemma our planet faces is the tradeoff between poverty alleviation, inequality reduction, and climate change. In Unsustainable Inequalities, economist Lucas Chancel confronts how to share prosperity without furthering environmental harm, arguing for policies that would direct the benefits of environmental protection to the poor.