A New Hardy–Hilbert-Type Integral Inequality Involving One Multiple Upper Limit Function and One Derivative Function of Higher Order-Reference-Cited by-同舟云学术

A New Hardy–Hilbert-Type Integral Inequality Involving One Multiple Upper Limit Function and One Derivative Function of Higher Order

Published:2023-05-19 Issue:5 Volume:12 Page:499
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Yang Bicheng¹,Rassias Michael Th.²³

Affiliation:

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

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

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

Abstract

Using weight functions and parameters, as well as applying real analytic techniques, we derive a new Hardy–Hilbert-type integral inequality with the homogeneous kernel 1(x+y)λ+n involving one multiple upper limit function and one derivative function of higher order. Certain equivalent statements of the optimal constant factor related to some parameters are considered. A few particular inequalities and the case of reverses are also provided.

Publisher

MDPI AG

Subject

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

Link

https://www.mdpi.com/2075-1680/12/5/499/pdf

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