An Inequality of Ostrowski-Grüss Type for Twice Differentiable Mappings and Applications in Numerical Integration

Cerone, Pietro, Dragomir, Sever S and Roumeliotis, John (1998) An Inequality of Ostrowski-Grüss Type for Twice Differentiable Mappings and Applications in Numerical Integration. RGMIA research report collection, 1 (2).

Abstract

In this paper we derive a new integral inequality of Ostrowski-Grüss type and apply it to estimate the error bounds for some numerical quadrature rules.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/17115
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's inequality, Grüss' inequality, numerical quadrature rules
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