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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).

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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
Uncontrolled Keywords: Hayashi and Iyengar inequalities, weighted quadrature
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: 19 Jul 2012 01:17
Last Modified: 23 May 2013 16:49
URI: http://vuir.vu.edu.au/id/eprint/17203
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