Approximation of the Stieltjes Integral and Applications in Numerical Integration
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Cerone, Pietro and Dragomir, Sever S (2003) Approximation of the Stieltjes Integral and Applications in Numerical Integration. RGMIA research report collection, 6 (1).
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 |
| URI | https://vuir.vu.edu.au/id/eprint/17798 |
| 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 | Stieltjes integral, quadrature rule, Fourier sine transform, Fourier cosine transform |
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