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.
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Tabella dei contenuti
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.
Lingua Inglese ● Formato PDF ● Pagine 145 ● ISBN 9783030292683 ● Dimensione 1.6 MB ● Casa editrice Springer International Publishing ● Città Cham ● Paese CH ● Pubblicato 2019 ● Scaricabile 24 mesi ● Moneta EUR ● ID 7194605 ● Protezione dalla copia DRM sociale
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