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).


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
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 generalised Taylor series, difference norm bounds
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