A generalization of the ostrowski integral inequality for mappings whose derivatives belong to Lp[a, b] and applications in numerical integration

被引：17

作者：

Dragomir, SS ^{[1
]}

机构：

[1] Victoria Univ Technol, Sch Commun & Informat, MCMC Melbourne City, Vic, Australia

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2001年 / 255卷 / 02期

关键词：

Ostrowski integral inequality; quadrature formulae;

D O I：

10.1006/jmaa.2000.7300

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A generalization of the Ostrowski integral inequality for mappings whose derivatives belong to L-p[a,b], 1 <p < infinity, and applications for general quadrature formulae are given. (C) 2001 Academic Press.

引用

页码：605 / 626

页数：22

共 6 条

[1]

Dragomir S.S., 1998, INDIAN J MATH, V40, P299

[2]

Dragomir S. S., 1997, TAMKANG J MATH, V28, P239

[3] An inequality of Ostrowski-Gruss' type and its applications to the estimation of error bounds for some special means and for some numerical quadrature rules [J].

Dragomir, SS ;

Wang, S .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1997, 33 (11) :15-20

[4] Applications of Ostrowski's inequality to the estimation of error bounds for some special means and for some numerical quadrature rules [J].

Dragomir, SS ;

Wang, S .

APPLIED MATHEMATICS LETTERS, 1998, 11 (01) :105-109

[5]

DRAGOMIR SS, UNPUB GEN OSTROWSKI

[6]

Mitrinovic D. S., 1994, INEQUALITIES INVOLVI

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