On Hilbert-Type and Hardy-Type Integral Inequalities and Applications
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Beschreibung
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.
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.
Enriches understanding of Hilbert-type inequalities Presents recent developments and new results Uses constant factors to extended Hurwitz zeta function with examples
Autor*in
Bicheng Yang
Themen in »On Hilbert-Type and Hardy-Type Integral Inequalities and Applications«
Yang-Hilbert-type inequalities Hardy-Hilbert-type inequalities Hilbert’s inequalities discrete inequalities integral inequalities half-discrete inequalities Hurwitz zeta function
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“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)
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