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Estimates for an integral in Lp norm of the (n+1)-th derivative of its integrand

Guo, Bai-Ni and Qi, Feng (2000) Estimates for an integral in Lp norm of the (n+1)-th derivative of its integrand. RGMIA research report collection, 3 (3).

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Abstract

Basing on Taylor’s formula with an integral remaider, an integral is estimated in Lp norm of the (n + 1)-th derivative of its integrand, and the Iyengar’s inequality and many other useful inequalities are generalized.

Item Type: Article
Uncontrolled Keywords: integral, estimate, derivative, Taylor’s formula, integral remainder, Lp norm
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: 27 Sep 2012 03:29
Last Modified: 24 May 2013 04:12
URI: http://vuir.vu.edu.au/id/eprint/17329
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