Inequalities for a Weighted Integral

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


In the article, along with the procedure generalizing the mean value theorems for derivative from Rolle to Taylor, we generalize the Iyengar inequality for an integral to obtain some inequalities for weighted integrals involving bounded derivative of the integrands.

Item type Article
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 Iyengar inequality, mean value theorem for derivative, weighted integral, bounded derivative
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