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On Constrained L 2-Approximation of Complex Functions

Published online by Cambridge University Press:  20 November 2018

M. A. Bokhari
M. A. Bokhari*
Affiliation:
Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals, Dhahran 31261 Saudi Arabia, e-mail: FACL049@SAUPM00.BITNET
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Abstract

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A function f analytic in any disc of radius greater than 1 is approximated in the L 2-sense over a class of polynomials which also interpolate f on a subset of the roots of unity. The resulting solution is used to discuss Walsh-type equiconvergence. The main theorem of the paper generalizes certain results of Walsh, Rivlin and Cavaretta et al.

Keywords

30E1041A20Taylor's polynomialLagrange interpolantl 2 and L 2 minimizationinner product spaceequiconvergence

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 38 , Issue 2 , 01 June 1995, pp. 149 - 155
Copyright
Copyright © Canadian Mathematical Society 1995

References

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