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Matematicheskie Zametki, 2014, Volume 96, Issue 6, Pages 939–952
DOI: https://doi.org/10.4213/mzm9681 (Mi mzm9681) 		 
This article is cited in 19 scientific papers (total in 19 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
Full-text PDF (503 kB) Citations (19)
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DOI: https://doi.org/10.4213/mzm9681
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.
Received: 27.04.2012
Revised: 27.11.2013
English version:
Mathematical Notes, 2014, Volume 96, Issue 6, Pages 1008–1019
DOI: https://doi.org/10.1134/S0001434614110406
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: Yu. I. Kharkevich, T. A. Stepanyuk, “Approximation Properties of Poisson Integrals for the Classes $C^{\psi}_{\beta}H^{\alpha}$”, Mat. Zametki, 96:6 (2014), 939–952; Math. Notes, 96:6 (2014), 1008–1019
Citation in format AMSBIB
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    • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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