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Lobatto Type Quadrature Rules for Functions with Bounded Derivative

Cerone, Pietro and Dragomir, Sever S (1999) Lobatto Type Quadrature Rules for Functions with Bounded Derivative. RGMIA research report collection, 2 (2).

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Abstract

Inequalities are obtained for quadrature rules in terms of upper and lower bounds of the first derivative of the integrand. Bounds of Ostrowski type quadrature rules are obtained and the classical Iyengar inequality for the trapezoidal rule is recaptured as a special case. Applications to numerical integration are demonstrated.

Item Type: Article
Uncontrolled Keywords: Hayashi, Iyengar and Ostrowski inequalities, quadrature formulae.
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/17199
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