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Inequalities for a Weighted Multiple Integral

✍ Scribed by Feng Qi

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 71 KB
Volume: 253
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.2000.7138

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✦ Synopsis

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 Ž . n q 1 th order remain between bounds. Using this result, Iyengar's inequality is generalized and related results in references could be deduced.

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