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.

引用

页码：175 / 189

页数：15

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Anastassiou, GA .

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[3]

Dragomir SS, 2001, MATH INEQUAL APPL, V4, P59

[4]

Mitrinovic D.S., 1994, Inequalities for Functions and Their Integrals and Derivatives

[5]

Ostrowski A., 1937, Comment. Math. Helv, V10, P226, DOI [10.1134/S0001434610010049, DOI 10.1134/S0001434610010049, 10.1007/BF01214290, DOI 10.1007/BF01214290]

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