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

Dragomir, Sever S and Qi, Feng and 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).

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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
Uncontrolled Keywords: Appell polynomials, Bernoulli polynomials, Euler polynomials, generalized Taylor’s formula, Taylor-like expansion, double integral, remainder
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: 30 Aug 2012 03:32
Last Modified: 23 May 2013 16:52
URI: http://vuir.vu.edu.au/id/eprint/17793
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