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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2014 Volume 96, Issue 6, Pages 939–952 (Mi mzm9681)

This article is cited in 15 papers

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

Yu. I. Kharkevich, T. A. Stepanyuk

Volyn University of Lesya Ukrainka

Abstract: 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.

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

UDC: 517.5

Received: 27.04.2012
Revised: 27.11.2013

DOI: 10.4213/mzm9681


 English version:
Mathematical Notes, 2014, 96:6, 1008–1019

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