Some New Inverse-type Hilbert-Pachpatte Integral Inequalities

作     者：Young Ho KIM 

作者机构：Department of Applied MathematicsChangwon National UniversityChangwon 641-773Korea 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2004年第20卷第1期

页      面：57-62页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Supported partly by Scientific Research Foundation for Returned Overseas Chineses Scholars of the State Education Ministry of China partly by the National Natural Science Foundation of China (No. 10071007) partly by Scientific Research Foundation for Key teacher of the State Education Ministry of China 

主　　题：Hilbert’s double integral inequality H(?)lder integral inequality Jensen’s inequality Power mean inequality 

摘      要：In this paper, some new generalizations of inverse type Hilbert-Pachpatte integral inequalities are proved. The results of this paper reduce to those of Pachpatte (1998, J. Math. Anal. Appl. 226, 166–179) and Zhao and Debnath (2001, J. Math. Anal. Appl. 262, 411–418).