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

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. Mo...

Full description

Saved in:
Bibliographic Details
Published inJournal of mathematics (Hidawi) Vol. 2021; pp. 1 - 11
Main Authors Liao, Jianquan, Wu, Shanhe, Yang, Bicheng
Format Journal Article
LanguageEnglish
Published Cairo Hindawi 2021
Hindawi Limited
Wiley
Subjects
Colleges & universities
Inequality
Mathematics
Sums
Online AccessGet full text

Cover

More Information
Summary: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.
ISSN:2314-4629
2314-4785
DOI:10.1155/2021/5264623