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The best polynomial approximation of functions analytic in the unit circle

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Abstract

In the Banach space ℬ(p,q,λ), studied by M. I. Gvaradze, we establish a relation between the best polynomial approximation of an entire transcendental function and such important characteristics as its order of growth and its type.

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Literature cited

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 6, pp. 838–843, June, 1990.

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Vakarchuk, S.B. The best polynomial approximation of functions analytic in the unit circle. Ukr Math J 42, 740–744 (1990). https://doi.org/10.1007/BF01058926

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  • DOI: https://doi.org/10.1007/BF01058926

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