Inequalities for a Weighted Multiple Integral

Qi, Feng (1999) Inequalities for a Weighted Multiple Integral. RGMIA research report collection, 2 (7).

Abstract

In the article, using Taylor's formula for functions of several variables, the author establishes some inequalities for the weighted multiple integral of a function defined on an m-dimensional rectangle, if its partial derivatives of (n + 1)-th order remain between bounds. From which Iyengar's inequality is generalized and related results in references could be deduced.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/17265
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 multiple integral, weighted integral, inequality, Taylor's formula for functions of several variables, m-rectangle, bounded derivative
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