On Convergence of Quadrature Methods for the Lipschitz-Continuous Functions

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Fedotov, 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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