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).

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
URI https://vuir.vu.edu.au/id/eprint/17199
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, Iyengar and Ostrowski inequalities, quadrature formulae.
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