Inequalities for a weighted multiple integral

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:253

Article

Qi, F

关键词: multiple integral;    weighted integral;    inequality;    Taylor's formula for functions of several variables;    m-rectangle;    bounded derivative;   

DOI  :  10.1006/jmaa.2000.7138

来源: Elsevier

【 摘 要 】

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. Using this result, Iyengar's inequality is generalized and related results in references could be deduced. (C) 2000 Academic Press.

【 授权许可】

Free