An Operator Inequality Related to Hilbert's Type Inequality

被引：0

作者：

Xu, Biao ^{[1
]}

Chen, Guang-Sheng ^{[2
]}

机构：

[1] Huaibei Normal Univ, Sch Math Sci, Huaibei 235000, Anhui, Peoples R China

[2] Guangxi Modern Vocat Technol Coll, Dept Comp Engn, Hechi 547000, Guangxi, Peoples R China

来源：

JOURNAL OF INTERDISCIPLINARY MATHEMATICS | 2014年 / 17卷 / 5-6期

基金：

中国国家自然科学基金;

关键词：

Hilbert-type operator; Beta function; weight coefficient;

D O I：

10.1080/09720502.2014.952526

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using the weight coefficient and the theory of operators,, we define a new Hilbert-type operator and obtain its norm. At last, equivalent inequalities with the best constant factor and some particular norms are considered for applications.

引用

页码：499 / 509

页数：11

共 18 条

[1]

Arpad B, 2006, J INEQUAL APPL, V2006, P28582

[2]

Hardy G. H., 1952, MATH GAZ

[3]

Hardy GH, 1925, P LOND MATH SOC, V23, P1

[4]

Kuang JC, 1996, INTRO REAL ANAL

[5]

Kuang JCh., 2004, APPL INEQUALITIES

[6]

MITRINOVIC D. S., 1991, INEQUALITIES INVOLVI

[7]

TAYLOR AE, 1976, INTRO FUNCTIONAL ANA

[8]

Wang Z.X., 1979, INTRO SPECIAL FUNCTI

[9] On new extensions of Hilbert's inequality [J].

Yang, B .

ACTA MATHEMATICA HUNGARICA, 2004, 104 (04) :291-299

[10]

Yang B., 2007, J INEQUAL APPL, V23, P1

← 1 2 →