Some Remarks on the Trapezoid Rule In Numerical Integration

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


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
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 trapezoidal rule, analytic inequalities
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