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New Bounds for a Perturbed Generalised Taylor's Formula

Cerone, Pietro and Dragomir, Sever S (2000) New Bounds for a Perturbed Generalised Taylor's Formula. RGMIA research report collection, 3 (2).

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Abstract

A generalised Taylor series with integral remainder involving a convex combination of the end points of the interval under consideration is investigated. Perturbed generalised Taylor series are bounded in terms of Lebesgue p-norms on [a, b]² for f△ : [a, b]² → R with f△ (t, s) = f (t) - f (s).

Item Type: Article
Uncontrolled Keywords: generalised Taylor series, difference norm bounds
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 08:07
Last Modified: 23 May 2013 16:49
URI: http://vuir.vu.edu.au/id/eprint/17315
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