Approximation by $\delta $-Polynomials

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 1973 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Numerical Analysis, volume 10, pages 50-54 (issn: 0036-1429, eissn: 1095-7170,

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Authors: Poreda, S. J.;

doi: 10.1137/0710007

Approximation by $\delta $-Polynomials

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Abstract

The approximation to complex-valued functions, continuous on a closed Jordan curve by polynomials of degree n, whose uniform norm on that curve is greater than or equal to some prescribed constant, is investigated. The limits for the resultant sequence of the best such deviations are found for a large class of functions.

Keywords

Polynomials and rational functions of one complex variable, Approximation in the complex plane

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