Bounds for Hardy Type Differences

作     者：Neven ELEZOVIC Kristina KRULIC Josip PECARIC 

作者机构：Faculty of Electrical Engineering and Computing University of Zagreb Unska 3 10000 Zagreb Croatia Faculty of Textile Technology University of Zagreb Prilaz baruna Filipovica 28a 10000 Zagreb Croatia 

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

年 卷 期：2011年第27卷第4期

页      面：671-684页

核心收录：

学科分类：080706[工学-化工过程机械] 07[理学] 08[工学] 0807[工学-动力工程及工程热物理] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Croatian Ministry of Science  Education and Sports  under the 

主　　题：Inequalities Hardy inequality Hilbert inequality Hardy type inequalities 

摘      要：Let Ak be an integral operator defined by Akf（x）：=1K（x）∫Ω2k（x,y）f（y）dμ2（y）where k：Ω1× Ω2 →Ris a general nonnegative kernel, （Ω1,∑1,μ1）, （Ω2,∑2,μ2） are measure spaces with a-finite measures and K（x）：=∫Ω2k（x,y）dμ2（y）,x∈Ω*** this paper improvements and reverses of new weighted Hardy type inequalities with integral operators of such type are stated and proved. New Cauchy type mean is introduced and monotonicity property of this mean is proved.