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2005 SHARP ERROR BOUNDS OF A QUADRATURE RULE WITH ONE MULTIPLE NODE FOR THE FINITE HILBERT TRANSFORM IN SOME CLASSES OF CONTINUOUS DIFFERENTIABLE FUNCTIONS
S. S. Dragomir
Taiwanese J. Math. 9(1): 95-109 (2005). DOI: 10.11650/twjm/1500407748

Abstract

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

Citation

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S. S. Dragomir. "SHARP ERROR BOUNDS OF A QUADRATURE RULE WITH ONE MULTIPLE NODE FOR THE FINITE HILBERT TRANSFORM IN SOME CLASSES OF CONTINUOUS DIFFERENTIABLE FUNCTIONS." Taiwanese J. Math. 9 (1) 95 - 109, 2005. https://doi.org/10.11650/twjm/1500407748

Information

Published: 2005
First available in Project Euclid: 18 July 2017

zbMATH: 1079.26015
MathSciNet: MR2122906
Digital Object Identifier: 10.11650/twjm/1500407748

Subjects:
Primary: 26D10 , 26D15
Secondary: 41A55

Keywords: analytic inequalities , Hilbert transform , Taylor's formula

Rights: Copyright © 2005 The Mathematical Society of the Republic of China

Vol.9 • No. 1 • 2005
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