New inequalities similar to Hardy-Hilbert's inequality

被引：9

作者：

Das, Namita ^{[1
]}

Sahoo, Srinibas ^{[2
]}

机构：

[1] Utkal Univ, PG Dept Math, Bhubaneswar 751004, Orissa, India

[2] Banki Coll, Dept Math, Banki 754008, Orissa, India

来源：

TURKISH JOURNAL OF MATHEMATICS | 2010年 / 34卷 / 02期

关键词：

Hardy-Hilbert's inequality; Holder's inequality; beta-function;

D O I：

10.3906/mat-0807-30

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we establish a new inequality similar to Hardy-Hilbert's inequality. As applications, some particular results and the equivalent form are derived. The integral analogues of the main results are also given.

引用

页码：153 / 165

页数：13

共 10 条

[1]

[Anonymous], 2004, Applied inequalities

[2]

Hardy Godfrey Harold, 1952, Inequalities, V2nd

[3] Extension of Hilbert's inequality [J].

Krnic, Mario ;

Pecaric, Josip .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 324 (01) :150-160

[4]

KRYLOV VI, 1962, APPROXIMATION CALCUL

[5]

Mitrinovic D. S., 1991, INEQUALITIES FUNCTIO

[6]

Mitrinovic D. S., 1970, Analytic Inequalities, V1

[7] On some new inequalities similar to Hilbert's inequality [J].

Pachpatte, BG .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1998, 226 (01) :166-179

[8] Inequalities similar to certain extensions of Hilbert's inequality [J].

Pachpatte, BG .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 243 (02) :217-227

[9]

WANG Z. X., 1979, Introduction to special functions

[10]

Yang BC, 2003, MATH INEQUAL APPL, V6, P625

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