A Multiparameter Hardy–Hilbert-Type Inequality Containing Partial Sums as the Terms of Series-Reference-Cited by-同舟云学术

A Multiparameter Hardy–Hilbert-Type Inequality Containing Partial Sums as the Terms of Series

Published:2021-12-06 Issue: Volume:2021 Page:1-11
ISSN:2314-4785
Container-title:Journal of Mathematics
language:en
Short-container-title:Journal of Mathematics

Author:

Liao Jianquan¹,Wu Shanhe²^ORCID,Yang Bicheng¹

Affiliation:

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

2. Department of Mathematics, Longyan University, Longyan 364012, Fujian, China

Abstract

In this study, a multiparameter Hardy–Hilbert-type inequality for double series is established, which contains partial sums as the terms of one of the series. Based on the obtained inequality, we discuss the equivalent statements of the best possible constant factor related to several parameters. Moreover, we illustrate how the inequality obtained can generate some new Hardy–Hilbert-type inequalities.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

General Mathematics

Link

http://downloads.hindawi.com/journals/jmath/2021/5264623.pdf

Reference12 articles.

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