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

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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).

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
URI https://vuir.vu.edu.au/id/eprint/17982
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 Hilbert transform, Taylor’s formula, analytic inequalities
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