Geodesic
On the best approximation of the differentiation operator
Ural mathematical journal, Tome 1 (2015) no. 1, pp. 20-29 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper we give a solution of the problem of the best approximation in the uniform norm of the differentiation operator of order k by bounded linear operators in the class of functions with the property that the Fourier transforms of their derivatives of order $n$ $(t$ are finite measures. We also determine the exact value of the best constant in the corresponding inequality for derivatives. The paper was originally published in a hard accessible collection of articles Approximation of Functions by Polynomials and Splines (UNTs AN SSSR, Sverdlovsk, 1985), p. 3–14 (in Russian).
Keywords: Differentiation operator, Stechkin's problem, Kolmogorov inequality. 
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Vitalii V. Arestov. On the best approximation of the differentiation operator. Ural mathematical journal, Tome 1 (2015) no. 1, pp. 20-29. http://geodesic.mathdoc.fr/item/UMJ_2015_1_1_a1/

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