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Sharp Error Bounds of a Quadrature Rule with One Multiple Node for the Finite Hilbert Transform in Some Classes of Continuous Differentiable Functions

Dragomir, Sever S (2002) Sharp Error Bounds of a Quadrature Rule with One Multiple Node for the Finite Hilbert Transform in Some Classes of Continuous Differentiable Functions. RGMIA research report collection, 5 (Supp).

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Abstract

Some inequalities and approximations for the finite Hilbert transform by the use of Taylor’s formula with the integral remainder are given.

Item Type: Article
Uncontrolled Keywords: Hilbert transform, Taylor’s formula, analytic inequalities
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: 11 Feb 2012 10:39
Last Modified: 23 May 2013 16:53
URI: http://vuir.vu.edu.au/id/eprint/17982
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