摘要
本文基于广义Greiner算子建立了一类Ostrowski型不等式和带有边界项的Hardy不等式.采用的技巧是先建立函数表示公式及水平梯度的L~∞范数,再进一步获得球域及一般有界域上的Ostrowski型不等式.利用同样的技巧,获得了带有边界项的Hardy不等式.
In this paper,we first show a representation formula related to the generalized Greiner operator by an improved method.Then using the representation formula and L~∞norm of the horizontal gradient,we establish Ostrowski type inequalities in the ball and general bounded domain related to the generalized Greiner operator.Moreover,in the same spirit,we show the Hardy inequalities with boundary terms.
出处
《数学进展》
CSCD
北大核心
2015年第1期91-101,共11页
Advances in Mathematics（China）
基金
Supported by NSFC(No.11101319)
Natural Science Basic Research Plan in Shaanxi Province of China(No.2014JM1021)
