Darboux's Formula with Integral Remainder of Functions with Two Independent Variables

Qi, Feng, Luo, Qiu-Ming and Guo, Bai-Ni (2003) Darboux's Formula with Integral Remainder of Functions with Two Independent Variables. RGMIA research report collection, 6 (2).

Abstract

In the article, the noted Darboux’s formula of functions with single variable is generalized to that of functions of two independent variables with integral remainder, some important special cases of Darboux’s formula of functions with two variables are obtained, and some estimates of the integral remainders and Darboux’s expansion of the function ln(x + y) are given. These results generalize A. Sard’s formula in numerical integration.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/17806
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 Darboux’s formula, Obreschkoff’s formula, Sard’s formula, integral remainder, estimate
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