Hilbert's Type Linear Operator and Some Extensions of Hilbert's Inequality

The norm of a Hilbert's type linear operator T:L2(0,∞)→L2(0,∞) is given. As applications, a new generalizations of Hilbert integral inequality, and the result of series analogues are given correspondingly.

Bibliographic Details
Main Authors: Bing He, Zhiping Wang, Yongjin Li
Format: Article
Language:English
Published: SpringerOpen 2008-01-01
Series:Journal of Inequalities and Applications
Online Access:http://dx.doi.org/10.1155/2007/82138