Some new Hardy-Hilbert-type inequalities with multiparameters

Limin Yang; Ruiyun Yang; Limin Yang; Ruiyun Yang

doi:10.3934/math.2022050

AIMS Mathematics

2022, Volume 7, Issue 1: 840-854. doi: 10.3934/math.2022050

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Research article

Some new Hardy-Hilbert-type inequalities with multiparameters

Limin Yang ^,,
Ruiyun Yang

Basic Department, Henan Vocational College of Water Conservancy and Environment, Zhengzhou 450008, China

Received: 08 April 2021 Accepted: 11 October 2021 Published: 18 October 2021
MSC : 26D15

The purpose of this paper is to build some new Hardy-Hilbert-type inequalities with multiparameters and their equivalent forms and variants, which generalize some existing results. Similarly, the corresponding Hardy-Hilbert-type integral inequalities are also given.
- Hardy–Hilbert-type inequality,
- Hölder's inequality,
- Beta function
Citation: Limin Yang, Ruiyun Yang. Some new Hardy-Hilbert-type inequalities with multiparameters[J]. AIMS Mathematics, 2022, 7(1): 840-854. doi: 10.3934/math.2022050

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Abstract

The purpose of this paper is to build some new Hardy-Hilbert-type inequalities with multiparameters and their equivalent forms and variants, which generalize some existing results. Similarly, the corresponding Hardy-Hilbert-type integral inequalities are also given.

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