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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).

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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
Uncontrolled Keywords: three point identities and inequalities, Ostrowski and Grüss inequalities, Newton-Cotes quadrature
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: 19 Jul 2012 00:47
Last Modified: 23 May 2013 16:49
URI: http://vuir.vu.edu.au/id/eprint/17278
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