On Two Extensions of Hilbert's Integral Inequality

被引：0

作者：

Jokar, Z. ^{[1
]}

机构：

[1] Islamic Azad Univ, Fac Sci, Dept Math, Young Researchers Club & Elites Shiraz Branch,Mat, Shiraz, Iran

来源：

JOURNAL OF MATHEMATICAL EXTENSION | 2012年 / 6卷 / 04期

关键词：

Beta function; inner product; Holder's inequality; norm; Hilbert's integral inequality; extension of Hilbert's inequality;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The norm of a Hilbert's type linear operator T : L-2 (0, infinity) -> L-2(0, infinity) is given. By introducing some parameters, we give the norms of two extensions of Hilbert's integral operator. Also, we obtain two new extended Hilbert's type inequalities with constant factors and the equivalent forms are obtained.

引用

页码：21 / 31

页数：11