On Convergence of Quadrature Methods for the Lipschitz-Continuous Functions
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DownloadFedotov, I and Dragomir, Sever S (2000) On Convergence of Quadrature Methods for the Lipschitz-Continuous Functions. RGMIA research report collection, 3 (4).
Abstract
In this article we present a new approach to quadrature methods where any quadrature formula is generated by a discontinuous function whose jumps are quadrature weights. The quadrature error is estimated for Lipschitzcontinuous functions with the constant which can not be replaced by a smaller one.
| Item type | Article |
| URI | https://vuir.vu.edu.au/id/eprint/17340 |
| 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 | quadrature methods, Lipschitz space, generating function |
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