Intelligent Comparisons: Analytic Inequalities - Anastassiou, George A.

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Résumé :
This monograph presents recent and original work of the author on inequalities in real, functional and fractional analysis. The chapters are self-contained and can be read independently, they include an extensive list of references per chapter. The book?s results are expected to find applications in many areas of applied and pure mathematics, especially in ordinary and partial differential equations and fractional differential equations. As such this monograph is suitable for researchers, graduate students, and seminars of the above subjects, as well as Science and Engineering University libraries. ?

Biographie:
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. Razvan Alex Mezei received his PhD from the University of Memphis and currently holds an assistant professorship and Lenoir-Rhyne University, Hickory, North Carolina. He teaches mathematics as well as computer science/IT courses to undergraduates and is a computing sciences program coordinator. Mezei has extensive experience in computer programming and software development and has written several publications with George Anastassiou....

Sommaire:

Fractional Polya Integral Inequality.- Univariate Fractional Polya Integral Inequalities.- About Multivariate General Fractional Polya Integral Inequalities.- Balanced Canavati Fractional Opial Inequalities.- Fractional Representation Formulae and Fractional Ostrowski Inequalities.- Basic Fractional Integral Inequalities.- Harmonic Multivariate Ostrowski and Gr?ss Inequalities.- Fractional Ostrowski and Gr?ss Inequalities Using Several Functions.- Further Interpretation of Some Fractional Ostrowski and Gr?ss Type Inequalities.- Multivariate Fractional Representation Formula and Ostrowski Inequality.- Fractional Representation Formulae and Ostrowski Inequalities.- About Multivariate Lyapunov Inequalities.- Ostrowski Type Inequalities for Semigroups.- About Ostrowski Inequalities for Cosine and Sine Operator Functions.- About Hilbert-Pachpatte Inequalities.- About Ostrowski and Landau Type Inequalities.- Multidimensional Ostrowski Type Inequalities.- About Fractional Representation Formulae and Right Fractional Inequalities.- About Canavati fractional Ostrowski inequalities.- The Most General Fractional Representation Formula.- Rational Inequalities for Integral Operators Using Convexity.- Fractional Integral Inequalities with Convexity.- Vectorial Inequalities for Integral Operators.- Vectorial Splitting Rational Lp Inequalities for Integral Operators.- Separating Rational Lp Inequalities for Integral Operators.- About Vectorial Hardy Type Fractional Inequalities.- About Vectorial Fractional Integral Inequalities Using Convexity.