On Hilbert-Type and Hardy-Type Integral Inequalities and Applications
Springer International Publishing (Verlag)
978-3-030-29267-6 (ISBN)
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.
1. Introduction.- 2.Equivalent Statements of Hilbert-type integral inequalities.- 3.Equivalent Statements of the Reverse Hilbert-Type Integral Inequalities.- 4. Equivalent Statements of Hardy-Type Integral Inequalities.- 5.Equivalent Property of the Reverse Hardy-Type Integral Inequalities.- References.
"This monograph could be useful for graduate students of mathematics, physics and engineering sciences, or to anyone interested in this active field of research." (J. Sándor, Mathematical Reviews, May, 2020)
| Erscheinungsdatum | 03.10.2019 |
|---|---|
| Reihe/Serie | SpringerBriefs in Mathematics |
| Zusatzinfo | X, 145 p. 1 illus. |
| Verlagsort | Cham |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 248 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Schlagworte | discrete inequalities • half-discrete inequalities • Hardy-Hilbert-type inequalities • Hilbert's inequalities • Hilbert’s inequalities • Hurwitz zeta function • integral inequalities • Yang-Hilbert-type inequalities |
| ISBN-10 | 3-030-29267-3 / 3030292673 |
| ISBN-13 | 978-3-030-29267-6 / 9783030292676 |
| Zustand | Neuware |
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