A New Extension of Hardy-Hilbert's Inequality Containing Kernel of Double Power Functions

被引：15

作者：

Yang, Bicheng ^{[1
]}

Wu, Shanhe ^{[2
]}

Chen, Qiang ^{[3
]}

机构：

[1] Longyan Univ, Inst Appl Math, Longyan 364012, Peoples R China

[2] Longyan Univ, Dept Math, Longyan 364012, Peoples R China

[3] Guangdong Univ Educ, Dept Comp Sci, Guangzhou 510303, Peoples R China

来源：

MATHEMATICS | 2020年 / 8卷 / 06期

关键词：

Hardy-Hilbert's inequality; best possible constant factor; equivalent statement; operator expression;

D O I：

10.3390/math8060894

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we provide a new extension of Hardy-Hilbert's inequality with the kernel consisting of double power functions and derive its equivalent forms. The obtained inequalities are then further discussed regarding the equivalent statements of the best possible constant factor related to several parameters. The operator expressions of the extended Hardy-Hilbert's inequality are also considered.

引用

页数：13

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