New Bounds for a Perturbed Generalised Taylor's Formula
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Cerone, Pietro and Dragomir, Sever S (2000) New Bounds for a Perturbed Generalised Taylor's Formula. RGMIA research report collection, 3 (2).
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 |
| URI | https://vuir.vu.edu.au/id/eprint/17315 |
| 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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