2017
Том 69
№ 9

All Issues

Relationship between the Hadamard Theorem on Three Disks and Certain Problems of Polynomial Approximation of Analytic Functions

Vakarchuk S. B.

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Abstract

By using the classical Hadamard theorem, we obtain an exact (in a certain sense) inequality for the best polynomial approximations of an analytic function f(z) from the Hardy space H p, p ≥ 1, in disks of radii ρ, ρ1, and ρ2, 0 < ρ1 < ρ < ρ2 < 1.

English version (Springer): Ukrainian Mathematical Journal 53 (2001), no. 2, pp 283-288.

Citation Example: Vakarchuk S. B. Relationship between the Hadamard Theorem on Three Disks and Certain Problems of Polynomial Approximation of Analytic Functions // Ukr. Mat. Zh. - 2001. - 53, № 2. - pp. 250-254.

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