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＜電子ブック＞
On Hilbert-Type and Hardy-Type Integral Inequalities and Applications / by Bicheng Yang, Michael Th. Rassias
(SpringerBriefs in Mathematics. ISSN:21918201)

版	1st ed. 2019.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2019
大きさ	X, 145 p. 1 illus : online resource
著者標目	*Yang, Bicheng author Rassias, Michael Th author SpringerLink (Online service)
件　名	LCSH:Operator theory LCSH:Dynamical systems LCSH:Functions of real variables LCSH:Numerical analysis FREE:Operator Theory FREE:Dynamical Systems FREE:Real Functions FREE:Numerical Analysis
一般注記	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 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. HTTP:URL=https://doi.org/10.1007/978-3-030-29268-3

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