Ravi Agarwal Livres

The approximation of functions by linear positive operators is an important research topic in general mathematics and it also provides powerful tools to application areas such as computer-aided geometric design, numerical analysis, and solutions of differential equations. q-Calculus is a generalization of many subjects, such as hypergeometric series, complex analysis, and particle physics. ​​This monograph is an introduction to combining approximation theory and q-Calculus with applications, by using well- known operators. The presentation is systematic and the authors include a brief summary of the notations and basic definitions of q-calculus before delving into more advanced material. The many applications of q-calculus in the theory of approximation, especially on various operators, which includes convergence of operators to functions in real and complex domain​ forms the gist of the book. This book is suitable for researchers and students in mathematics, physics and engineering, and for professionals who would enjoy exploring the host of mathematical techniques and ideas that are collected and discussed in the book.

Focusing on convergence in real and complex domains, this book presents advanced findings that are essential for graduate students and researchers. It delves into innovative and efficient applications crafted by the authors, enhancing the study of optimization and analysis.

Covering essential topics in complex analysis, this text is designed for senior undergraduates and beginning graduate students. It serves as a comprehensive resource for coursework or self-study, including special topics that deepen understanding. The material lays a strong foundation for further studies in various fields such as analysis, linear algebra, numerical analysis, geometry, number theory, physics, thermodynamics, and electrical engineering.

This monograph provides a complete and self-contained account of the theory, methods, and applications of constant-sign solutions of integral equations. In particular, the focus is on different systems of Volterra and Fredholm equations. The presentation is systematic and the material is broken down into several concise chapters. An introductory chapter covers the basic preliminaries. Throughout the book many examples are included to illustrate the theory. The book contains a wealth of results that are both deep and interesting. This unique book will be welcomed by mathematicians working on integral equations, spectral theory, and on applications of fixed point theory and boundary value problems.

This is a monograph devoted to recent research and results on dynamic inequalities on time scales. The study of dynamic inequalities on time scales has been covered extensively in the literature in recent years and has now become a major sub-field in pure and applied mathematics. In particular, this book will cover recent results on integral inequalities, including Young's inequality, Jensen's inequality, Holder's inequality, Minkowski's inequality, Steffensen's inequality, Hermite-Hadamard inequality and Čebyšv's inequality. Opial type inequalities on time scales and their extensions with weighted functions, Lyapunov type inequalities, Halanay type inequalities for dynamic equations on time scales, and Wirtinger type inequalities on time scales and their extensions will also be discussed here in detail.

The book is devoted to dynamic inequalities of Hardy type and extensions and generalizations via convexity on a time scale T. In particular, the book contains the time scale versions of classical Hardy type inequalities, Hardy and Littlewood type inequalities, Hardy-Knopp type inequalities via convexity, Copson type inequalities, Copson-Beesack type inequalities, Liendeler type inequalities, Levinson type inequalities and Pachpatte type inequalities, Bennett type inequalities, Chan type inequalities, and Hardy type inequalities with two different weight functions. These dynamic inequalities contain the classical continuous and discrete inequalities as special cases when T = R and T = N and can be extended to different types of inequalities on different time scales such as T = hN, h > 0, T = qN for q > 1, etc. In this book the authors followed the history and development of these inequalities. Each section in self-contained and one can see the relationship between the time scale versions of the inequalities and the classical ones. To the best of the authors’ knowledge this is the first book devoted to Hardy-typeinequalities and their extensions on time scales.

Written by a team of leading experts in the field, this volume presents a self-contained account of the theory, techniques and results in metric type spaces (in particular in G-metric spaces); that is, the text approaches this important area of fixed point analysis beginning from the basic ideas of metric space topology. The text is structured so that it leads the reader from preliminaries and historical notes on metric spaces (in particular G-metric spaces) and on mappings, to Banach type contraction theorems in metric type spaces, fixed point theory in partially ordered G-metric spaces, fixed point theory for expansive mappings in metric type spaces, generalizations, present results and techniques in a very general abstract setting and framework. Fixed point theory is one of the major research areas in nonlinear analysis. This is partly due to the fact that in many real world problems fixed point theory is the basic mathematical tool used to establish the existence of solutions to problems which arise naturally in applications. As a result, fixed point theory is an important area of study in pure and applied mathematics and it is a flourishing area of research.

Wasserverschmutzung, Luftverpestung, Resourcenknappheit- erhebliche ökologische Probleme bedrohen inzwischen weltweit alle großen Industrienationen. Am konkreten Beispiel der südostindischen Stadt Chennai hinterfragt das Ausstellungsprojekt DAMned Art – Embrace Our Rivers die mögliche soziale und politische Bedeutung und Funktion von Kunst. Das Public Art-Projekt in Chennai, kuratiert von dem indischen Öko-Aktivisten und Künstler Ravi Agarwal und dem deutschen Ausstellungsmacher Florian Matzner, ist eine Kooperation europäischer und indischer KünstlerInnen und vereint mehr als ein Dutzend zukunftsweisender Projekte zum Thema „Art and Ecology.“ Künstler: Arunkumar HG, atelier le balto, Atul Bhalla, Rohini Devasher, Gram Art Project, Mischa Kuball, Layout Collective, Parvathi Nayar, Oooze und Marjetica Potrc, raumnlaborberlin, Gigi Scaria, Anna Witt, Suyeon Yun