An equivalent property of a Hilbert-type integral inequality and its applications-Reference-Cited by-同舟云学术

An equivalent property of a Hilbert-type integral inequality and its applications

Published:2022 Issue:2 Volume:16 Page:548-563
ISSN:1452-8630
Container-title:Applicable Analysis and Discrete Mathematics
language:en
Short-container-title:APPL ANAL DISCRETE M

Author:

Yang B.¹,Andrica D.²,Bagdasar O.³,Rassias M.Th.⁴

Affiliation:

1. Department of Mathematics, Guangdong University of Education, Guangzhou, Guangdong, P.R. China.

2. Faculty of Mathematics and Computer Science, Babeş-Bolyai University, Cluj-Napoca, Romania

3. School of Computing and Engineering, University of Derby, Derby, United Kingdom

4. Department of Mathematics and Engineering Sciences, Hellenic Military Academy, Vari Attikis, Greece

Abstract

Making use of complex analytic techniques as well as methods involving weight functions, we study a few equivalent conditions of a Hilbert-type integral inequality with nonhomogeneous kernel and parameters. In the form of applications we deduce a few equivalent conditions of a Hilbert-type integral inequality with homogeneous kernel, and we additionally consider operator expressions.

Publisher

National Library of Serbia

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

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