Approximation Properties of Poisson Integrals for the Classes $C^{\psi}_{\beta}H^{\alpha}$

Yu. I. Kharkevich   ; T. A. Stepanyuk

Matematičeskie zametki, Tome 96 (2014) no. 6, pp. 939-952

Résumé

Questions dealing with the approximation of functions from the classes $C^{\psi}_{\beta}H^{\alpha}$ by Poisson integrals are studied. The Kolmogorov–Nikolskii problem for Poisson integrals for the classes $C^{\psi}_{\beta}H^{\alpha}$ is solved in the uniform metric.

Détail

Keywords: approximation of functions, the classes $C^{\psi}_{\beta}H^{\alpha}$, Fourier series, Kolmogorov–Nikolskii problem, $(\psi,\beta)$-derivative.
Mots-clés : Poisson integral

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