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.
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Dovgoshei, A.A. Chebyshev polynomial approximation on a closed subset with unique limit point and analytic extension of functions. Ukr Math J 48, 1006–1016 (1996). https://doi.org/10.1007/BF02390958
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DOI: https://doi.org/10.1007/BF02390958