2019
Том 71
№ 9

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Chebyshev polynomial approximation on a closed subset with unique limit point and analytic extension of functions

Dovgoshei A. A.

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Abstract

We describe the domain of analyticity of a continuous function f in terms of the sequence of the best polynomial approximations of f on a compact set K(K ⊂ ℂ) and the sequence of norms of Chebyshev polynomials for K.

English version (Springer): Ukrainian Mathematical Journal 48 (1996), no. 7, pp 1006-1016.

Citation Example: Dovgoshei A. A. Chebyshev polynomial approximation on a closed subset with unique limit point and analytic extension of functions // Ukr. Mat. Zh. - 1996. - 48, № 7. - pp. 891-900.

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