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Inequalities for a Weighted Multiple Integral

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

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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
Uncontrolled Keywords: multiple integral, weighted integral, inequality, Taylor's formula for functions of several variables, m-rectangle, bounded derivative
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: 19 Jul 2012 02:30
Last Modified: 23 May 2013 16:49
URI: http://vuir.vu.edu.au/id/eprint/17265
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