Univariate Ostrowski inequalities, revisited

被引：48
作者：
Anastassiou, GA [1 ]
机构：
[1] Univ Memphis, Memphis, TN 38152 USA
来源：
MONATSHEFTE FUR MATHEMATIK | 2002年 / 135卷 / 03期
关键词：
univariate integral inequality; Ostrowski inequality; higher order derivative; Montgomery identity;
D O I：
10.1007/s006050200015
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
New very general univariate Ostrowski-type inequalities are established, involving the parallel to(.)parallel to(infinity) and parallel to(.)parallel to(p), p greater than or equal to 1, norms of the engaged nth order derivative, n greater than or equal to 1. In establishing them, several important new univariate identities of Montgomery type are developed and presented for the first time.
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收藏
页码：175 / 189
页数：15
相关论文
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