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

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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).

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
URI https://vuir.vu.edu.au/id/eprint/17329
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 integral, estimate, derivative, Taylor’s formula, integral remainder, Lp norm
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