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Differential and Integral Inequalities

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Theories, methods and problems in approximation theory and analytic inequalities with a focus on differential and integral inequalities are analyzed in this book.  Fundamental and recent developments are presented on the inequalities of Abel, Agarwal, Beckenbach, Bessel, Cauchy–Hadamard, Chebychev, Markov, Euler’s constant, Grothendieck, Hilbert, Hardy, Carleman, Landau–Kolmogorov, Carlson, Bernstein–Mordell, Gronwall, Wirtinger, as well as inequalities of functions with their integrals and derivatives. Each inequality is discussed with proven results, examples and various applications. Graduate students and advanced research scientists in mathematical analysis will find this reference essential to their understanding of differential and integral inequalities. Engineers, economists, and physicists will find the highly applicable inequalities practical and useful to their research.

Authors: Andrica Dorin, Rassias Themistocles
Publisher: SPRINGER
Pages: 854
ISBN: 9783030274061
Cover: Hardback
Edition Number: 1
Release Year: 2019

Dorin Andrica is a Professor of Mathematics at the Babes-Bolyai University of Cluj Napoca, Romania. He has obtained a PhD in Pure Mathematics in 1992 with a thesis on critical point theory with applications to the geometry of differentiable submanifolds. His interests include differential topology (critical point theory with applications, Morse theory with applications), differential geometry,  geometry, Lie groups and Lie algebras with applications in geometric mechanics, number theory, discrete mathematics, and mathematics for competitions. Dorin has co-authored Springer textbooks on various topics in mathematics, as well as problem books for olympiad training. 

Themistocles M. Rassias is a professor of mathematics at the National Technical University of Athens. His research interests include nonlinear analysis, global analysis, approximation theory, functional analysis, functional equations, inequalities and their applications. Prof. Rassias received his PhD in mathematics from the University of California, Berkeley in 1976; his thesis advisor was Stephen Smale and his academic advisor was Shiing-Shen Chern. In addition to his extensive list of journal publications, Prof. Rassias has published as author or editor many books and volumes with Springer. In addition to having received several awards, Themistocles M. Rassias’ work has received a large number of citations.

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