An Equivalent Form Related to a Hilbert-Type Integral Inequality-Reference-Cited by-同舟云学术

An Equivalent Form Related to a Hilbert-Type Integral Inequality

Published:2023-07-10 Issue:7 Volume:12 Page:677
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Rassias Michael Th.¹²,Yang Bicheng³,Raigorodskii Andrei⁴⁵⁶

Affiliation:

1. Department of Mathematics and Engineering Sciences, Hellenic Military Academy, 16673 Vari Attikis, Greece

2. Program in Interdisciplinary Studies, Institute for Advanced Study, 1 Einstein Dr, Princeton, NJ 08540, USA

3. Department of Mathematics, Guangdong University of Education, Guangzhou 510303, China

4. Moscow Institute of Physics and Technology, Institutskiy per, d. 9, 141700 Dolgoprudny, Russia

5. Department of Mechanics and Mathematics, Moscow State University, 119991 Moscow, Russia

6. Caucasus Mathematical Center, Adyghe State University, 385000 Maykop, Russia

Abstract

In the present paper, we establish an equivalent form related to a Hilbert-type integral inequality with a non-homogeneous kernel and a best possible constant factor. We also consider the case of homogeneous kernel as well as certain operator expressions.

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/7/677/pdf

Reference28 articles.

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3. Mitrinović, D.S., Pečarić, J.E., and Fink, A.M. (1991). Inequalities Involving Functions and Their Integrals and Deivatives, Kluwer Academic.

4. On Hilbert’s integral inequality;Yang;J. Math. Anal. Appl.,1998

5. A note on Hilbert’s integral inequality;Yang;Chin. Q. J. Math.,1998

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