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Approximation of functions of Dirichlet class by Fejér means

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Abstract

For the Dirichlet classes D p of holomorphic functions in the disk, we obtain the exact orders of best polynomial approximations and of upper bounds for deviations of Fejér means of Taylor series in the Hardy spaces H p.

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Original Russian Text © V.V. Savchuk, 2007, published in Matematicheskie Zametki, 2007, Vol. 81, No. 5, pp. 744–750.

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Savchuk, V.V. Approximation of functions of Dirichlet class by Fejér means. Math Notes 81, 665–670 (2007). https://doi.org/10.1134/S0001434607050124

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  • DOI: https://doi.org/10.1134/S0001434607050124

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