1.

Record Nr.

UNINA9910349319303321

Autore

Yang Bicheng

Titolo

On Hilbert-Type and Hardy-Type Integral Inequalities and Applications / / by Bicheng Yang, Michael Th. Rassias

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019

ISBN

3-030-29268-1

Edizione

[1st ed. 2019.]

Descrizione fisica

1 online resource (X, 145 p. 1 illus.)

Collana

SpringerBriefs in Mathematics, , 2191-8198

Disciplina

515.724

515.46

Soggetti

Operator theory

Dynamics

Ergodic theory

Functions of real variables

Numerical analysis

Operator Theory

Dynamical Systems and Ergodic Theory

Real Functions

Numerical Analysis

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

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. .

Sommario/riassunto

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. .