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Frontiers in Functional Equations and Analytic Inequalities (eBook)

George A. Anastassiou, John Michael Rassias (Herausgeber)

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2019 | 1st ed. 2019
XIV, 753 Seiten
Springer International Publishing (Verlag)
978-3-030-28950-8 (ISBN)

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This volume presents cutting edge research from the frontiers of functional equations and analytic inequalities active fields. It covers the subject of functional equations in a broad sense, including but not limited to the following topics:

Hyperstability of a linear functional equation on restricted domains
Hyers-Ulam's stability results to a three point boundary value problem of nonlinear fractional order differential equations
Topological degree theory and Ulam's stability analysis of a boundary value problem of fractional differential equations
General Solution and Hyers-Ulam Stability of Duo Trigintic Functional Equation in Multi-Banach Spaces
Stabilities of Functional Equations via Fixed Point Technique
Measure zero stability problem for the Drygas functional equation with complex involution
Fourier Transforms and Ulam Stabilities of Linear Differential Equations
Hyers-Ulam stability of a discrete diamond-alpha derivative equation
Approximate solutions of an interesting new mixed type additive-quadratic-quartic functional equation.

The diverse selection of inequalities covered includes Opial, Hilbert-Pachpatte, Ostrowski, comparison of means, Poincare, Sobolev, Landau, Polya-Ostrowski, Hardy, Hermite-Hadamard, Levinson, and complex Korovkin type. The inequalities are also in the environments of Fractional Calculus and Conformable Fractional Calculus. Applications from this book's results can be found in many areas of pure and applied mathematics, especially in ordinary and partial differential equations and fractional differential equations. As such, this volume is suitable for researchers, graduate students and related seminars, and all science and engineering libraries. The exhibited thirty six chapters are self-contained and can be read independently and interesting advanced seminars can be given out of this book.

George Anastassiou is Professor at the University of Memphis. Research interests include Computational analysis, approximation theory, probability, theory of moments. Professor Anastassiou has authored and edited several publications with Springer including 'Fractional Differentiation Inequalities' (c) 2009, 'Fuzzy Mathematics: Approximation Theory' (c) 2010, 'Intelligent Systems: Approximation by Artificial Neural Networks' (c) 2014, 'The History of Approximation Theory' (c) 2005, 'Modern Differential Geometry in Gauge Theories' (c) 2006, and more.

John Michael Rassias is a Ph.D. graduate of the University of California, Berkeley. He is currently Emeritus Professor of the National and Kapodistrian University of Athens, Greece. Professor John M. Rassias is a leading mathematician and researcher in Mathematics. He has published academic papers in the following research areas: Functional Equations and Inequalities (more than 300 papers) in peer-reviewed leading scientific journals. Partial Differential Equations (more than 100 papers). He has also published 36 books and monographs in Mathematics.

Erscheint lt. Verlag	23.11.2019
Zusatzinfo	XIV, 753 p. 13 illus., 5 illus. in color.
Sprache	englisch
Themenwelt	Mathematik / Informatik ► Mathematik
Schlagworte	functional equations • functional inequalities • Gruss Inequalities • Operator Inequalities • Opial Inequalities • Polya Inequalities
ISBN-10	3-030-28950-8 / 3030289508
ISBN-13	978-3-030-28950-8 / 9783030289508

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