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On Constrained L2-Approximation of Complex Functions
Published online by Cambridge University Press: 20 November 2018
Abstract
A 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.
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- Copyright © Canadian Mathematical Society 1995