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Some Remarks on the Trapezoid Rule In Numerical Integration

Dragomir, Sever S and Cerone, Pietro and Sofo, Anthony (1999) Some Remarks on the Trapezoid Rule In Numerical Integration. RGMIA research report collection, 2 (5).

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Abstract

In this paper, by the use of some classical results from the Theory of Inequalities, we point out quasi-trapezoid quadrature formulae for which the error of approximation is smaller than in the classical case. Examples are given to demonstrate that the bounds obtained within this paper may be tighter than the classical ones. Some applications for special means are also given.

Item Type: Article
Uncontrolled Keywords: trapezoidal rule, analytic inequalities
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 01:19
Last Modified: 23 May 2013 16:49
URI: http://vuir.vu.edu.au/id/eprint/17244
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