2018
Том 70
№ 8

All Issues

On Some Problems of Polynomial Approximation of Entire Transcendental Functions

Vakarchuk S. B., Zhir S. I.

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Abstract

For entire transcendental functions of finite generalized order, we obtain limit relations between the growth characteristic indicated above and sequences of their best polynomial approximations in certain Banach spaces (Hardy spaces, Bergman spaces, and spaces \(B\left( {p,q,{\lambda }} \right)\) ).

English version (Springer): Ukrainian Mathematical Journal 54 (2002), no. 9, pp 1393-1401.

Citation Example: Vakarchuk S. B., Zhir S. I. On Some Problems of Polynomial Approximation of Entire Transcendental Functions // Ukr. Mat. Zh. - 2002. - 54, № 9. - pp. 1155-1162.

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