Lobatto Type Quadrature Rules for Functions with Bounded Derivative
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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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