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, 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).

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
URI https://vuir.vu.edu.au/id/eprint/17139
Subjects Historical > FOR Classification > 0102 Applied Mathematics
Historical > FOR Classification > 0103 Numerical and Computational Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords Ostrowski inequality, quadrature formulae
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