On Constrained L2-Approximation of Complex Functions
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Published:1995-06-01
Issue:2
Volume:38
Page:149-155
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ISSN:0008-4395
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Container-title:Canadian Mathematical Bulletin
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language:en
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Short-container-title:Can. math. bull.
Abstract
AbstractA function f analytic in any disc of radius greater than 1 is approximated in the L2-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.
Publisher
Canadian Mathematical Society
Subject
General Mathematics