Three Point Identities and Inequalities for n-time Differential Functions

Cerone, Pietro and Dragomir, Sever S (1999) Three Point Identities and Inequalities for n-time Differential Functions. RGMIA research report collection, 2 (7).

Abstract

Identities and inequalities are obtained involving n-time differentiable functions in terms of evaluations at an interior and at the end points. It is shown how previous work is recaptured as particular instances of the current development. Generalised Taylor type series expansions are obtained and applications to numerical quadrature are demonstrated.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/17278
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 three point identities and inequalities, Ostrowski and Grüss inequalities, Newton-Cotes quadrature
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