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On Hilbert-Type and Hardy-Type Integral Inequalities and Applications

✍ Scribed by Bicheng Yang, Michael Th. Rassias

Publisher
Springer International Publishing
Year
2019
Tongue
English
Leaves
152
Series
SpringerBriefs in Mathematics
Edition
1st ed. 2019
Category
Library
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✦ Synopsis

This book is aimed toward graduate students and researchers in mathematics, physics and engineering interested in the latest developments in analytic inequalities, Hilbert-Type and Hardy-Type integral inequalities, and their applications. Theories, methods, and techniques of real analysis and functional analysis are applied to equivalent formulations of Hilbert-type inequalities, Hardy-type integral inequalities as well as their parameterized reverses. Special cases of these integral inequalities across an entire plane are considered and explained. Operator expressions with the norm and some particular analytic inequalities are detailed through several lemmas and theorems to provide an extensive account of inequalities and operators.


✦ Table of Contents

Front Matter ....Pages i-x
Introduction (Bicheng Yang, Michael Th. Rassias)....Pages 1-13
Equivalent Statements of Hilbert-Type Integral Inequalities (Bicheng Yang, Michael Th. Rassias)....Pages 15-42
Equivalent Statements of the Reverse Hilbert-Type Integral Inequalities (Bicheng Yang, Michael Th. Rassias)....Pages 43-70
Equivalent Statements of Two Kinds of Hardy-Type Integral Inequalities (Bicheng Yang, Michael Th. Rassias)....Pages 71-107
Equivalent Property of the Reverse Hardy-Type Integral Inequalities (Bicheng Yang, Michael Th. Rassias)....Pages 109-145

✦ Subjects

Mathematics; Operator Theory; Dynamical Systems and Ergodic Theory; Real Functions; Numerical Analysis

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