A New Reverse Extended Hardy-Hilbert's Inequality with Two Partial Sums and Parameters

被引：1

作者：

Liao, Jianquan ^{[1
]}

Yang, Bicheng ^{[1
]}

机构：

[1] Guangdong Univ Educ, Sch Math, Guangzhou 510303, Peoples R China

来源：

AXIOMS | 2023年 / 12卷 / 07期

基金：

中国国家自然科学基金;

关键词：

constant factor; mid-value theorem; Bernoulli function; parameter; reverse;

D O I：

10.3390/axioms12070678

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using the methods of real analysis and the mid-value theorem, we introduce some lemmas and obtain a new reverse extended Hardy-Hilbert's inequality with two partial sums and multi-parameters. We also give a few equivalent conditions of the best possible constant factor related to several parameters in the new inequality. Some particular inequalities are deduced.

引用

页数：12