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Approximation of the Stieltjes Integral and Applications in Numerical Integration

Cerone, Pietro and Dragomir, Sever S (2003) Approximation of the Stieltjes Integral and Applications in Numerical Integration. RGMIA research report collection, 6 (1).

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Abstract

Some inequalities for the Stieltjes integral and applications in numerical integration are given. The Stieltjes integral is approximated by the product of the divided difference of the integrator and the Lebesgue integral of the integrand. Bounds on the approximation error are provided. Applications for the Fourier Sine and Cosine transforms on finite intervals are mentioned as well.

Item Type: Article
Uncontrolled Keywords: Stieltjes integral, quadrature rule, Fourier sine transform, Fourier cosine transform
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: 28 Aug 2012 07:21
Last Modified: 23 May 2013 16:52
URI: http://vuir.vu.edu.au/id/eprint/17798
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