A Perturbed Trapezoid Inequality in Terms of the Third Derivative and Applications

Barnett, Neil S and Dragomir, Sever S (2001) A Perturbed Trapezoid Inequality in Terms of the Third Derivative and Applications. RGMIA research report collection, 4 (2).

Abstract

Some error estimates in terms of the p−norms of the third derivative for the remainder in a perturbed trapezoid formula are given. Applications to composite quadrature formulae, for the expectation of a random variable and for Hermite-Hadamard divergence in Information Theory are pointed out.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/17405
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 trapezoid inequality
Download/View statistics View download statistics for this item

Search Google Scholar

Repository staff login