Inequalities for a Weighted Multiple Integral
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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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