Equivalent Conditions of the Reverse Hardy-Type Integral Inequalities-Reference-Cited by-同舟云学术

Equivalent Conditions of the Reverse Hardy-Type Integral Inequalities

Published:2023-02-09 Issue:2 Volume:15 Page:463
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Rassias Michael Th.¹²³,Yang Bicheng⁴,Raigorodskii Andrei²⁵⁶⁷

Affiliation:

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

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

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

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

5. The Department of Statistics and Random Processes of the Mechanics and Mathematics Faculty of Lomonosov, Moscow State University, Leninskie Gory, 1, Moscow 119991, Russia

6. Institute of Mathematics and Computer Science, Buryat State University, 24a Smolin St., Ulan-Ude 670000, Russia

7. Caucasus Mathematical Center, Adyghe State University, ul. Pervomayskaya, 208, Maykop 385000, Russia

Abstract

Hardy-type integral inequalities play a prominent role in the study of analytic inequalities, which are essential in mathematical analysis and its various applications, such as in the study of symmetry and asymmetry phenomena. In this paper, employing methods of real analysis and using weight functions, we investigate some equivalent conditions of two kinds of reverse Hardy-type integral inequalities with a particular non-homogeneous kernel. A few equivalent conditions of two kinds of reverse Hardy-type integral inequalities with a particular homogeneous kernel are deduced in the form of applications.

Funder

the National Natural Science Foundation

the Characteristic innovation project of Guangdong Provincial Colleges and universities in 2020

the grant supporting leading scientific schools of Russia

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2073-8994/15/2/463/pdf

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