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On Hilbert-Type and Hardy-Type Integral Inequalities and Applications de Bicheng Yang

On Hilbert-Type and Hardy-Type Integral Inequalities and Applications: SpringerBriefs in Mathematics

Autor Bicheng Yang, Michael Th. Rassias
en Limba Engleză Paperback – 30 sep 2019
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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Specificații

ISBN-13: 9783030292676
ISBN-10: 3030292673
Pagini: 145
Ilustrații: X, 145 p. 1 illus.
Dimensiuni: 155 x 235 mm
Greutate: 0.45 kg
Ediția:1st ed. 2019
Editura: Springer International Publishing
Colecția Springer
Seria SpringerBriefs in Mathematics

Locul publicării:Cham, Switzerland

Cuprins

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. 

Recenzii

“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)

Textul de pe ultima copertă

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. 

Caracteristici

Enriches understanding of Hilbert-type inequalities Presents recent developments and new results Uses constant factors to extended Hurwitz zeta function with examples