New Taylor-like Expansions for Functions of Two Variables and Estimates of their Remainders

Dragomir, Sever S, Qi, Feng, Hanna, George T and Cerone, Pietro (2003) New Taylor-like Expansions for Functions of Two Variables and Estimates of their Remainders. RGMIA research report collection, 6 (1).

Abstract

In this article, a generalisation of Sard’s inequality for Appell polynomials is obtained. Estimates for the remainder are also provided.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/17793
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 Appell polynomials, Bernoulli polynomials, Euler polynomials, generalized Taylor’s formula, Taylor-like expansion, double integral, remainder
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