On a Weighted Generalization of Iyengar Type Inequalities Involving Bounded First Derivative

Cerone, Pietro and Dragomir, Sever S (1999) On a Weighted Generalization of Iyengar Type Inequalities Involving Bounded First Derivative. RGMIA research report collection, 2 (2).

Abstract

Inequalities are obtained for weighted integrals in terms of bounds involving the first derivative of the function. Quadrature rules are obtained and the classical Iyengar inequality for the trapezoidal rule is recaptured as a special case when the weight function w (x) ≡ 1. Applications to numerical integration are demonstrated.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/17203
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 Hayashi and Iyengar inequalities, weighted quadrature
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