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Research Article | Open Access

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
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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.

Keywords

Hardy–Hilbert-type inequalityHölder's inequalityBeta function
CLC number: 26D15

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AIMS Mathematics
Volume 7 Issue 1,
January 2022
Pages 840-854
DOI: 10.3934/math.2022050

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Cite this article:
Yang L, Yang R. Some new Hardy-Hilbert-type inequalities with multiparameters. AIMS Mathematics, 2022, 7(1): 840-854. https://doi.org/10.3934/math.2022050

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Received: 08 April 2021
Accepted: 11 October 2021
Published: 15 January 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)