Best Uniform Approximation of Complex-Valued Functions by Generalized Polynomials Having Restricted Ranges

Authors: Smirnov G.S.¹; Golitschek R.M.G.

Source: Journal of Approximation Theory, Volume 100, Number 2, October 1999 , pp. 284-303(20)

Publisher: Academic Press

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Abstract:

We study the uniform best restricted ranges approximations of complex-valued functions by generalized polynomials. The theory, generalizing the real-valued case, embraces the theorems of existence, characterization, uniqueness, and strong uniqueness. Copyright 1999 Academic Press.

Language: English

Document Type: Research article

Affiliations: 1: Department of Mechanics and Mathematics, Kyiv National University, 6 Glushkov Avenue, Kyiv, 252127, Ukraine

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