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A New Generalization of Ostrowski's Integral Inequality for Mappings Whose Derivatives are Bounded and Applications in Numerical Integration and for Special Means

Dragomir, Sever S and Cerone, Pietro and Roumeliotis, John (1999) A New Generalization of Ostrowski's Integral Inequality for Mappings Whose Derivatives are Bounded and Applications in Numerical Integration and for Special Means. RGMIA research report collection, 2 (1).

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Abstract

In this paper we establish a new inequality of Ostrowski type for functions with bounded derivatives. This has immediate applications in Numerical Integration where new estimates are obtained for the remainder of term of the trapezoid, mid-point and Simpson formulae. Application to special means are also investigated.

Item Type: Article
Uncontrolled Keywords: Ostrowski inequality, quadrature formulae
Subjects: FOR Classification > 0102 Applied Mathematics
FOR Classification > 0103 Numerical and Computational Mathematics
Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Depositing User: Research Group in Mathematical Inequalities and Applications
Date Deposited: 07 Nov 2011 04:50
Last Modified: 23 May 2013 16:48
URI: http://vuir.vu.edu.au/id/eprint/17139
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