Geodesic
Approximation Properties of Poisson Integrals for the Classes~$C^{\psi}_{\beta}H^{\alpha}$
Matematičeskie zametki, Tome 96 (2014) no. 6, pp. 939-952

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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 $C^{\psi}_{\beta}H^{\alpha}$, Fourier series, Kolmogorov–Nikolskii problem, $(\psi,\beta)$-derivative.
Mots-clés : Poisson integral 
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     author = {Yu. I. Kharkevich and T. A. Stepanyuk},
     title = {Approximation {Properties} of {Poisson} {Integrals} for the {Classes~}$C^{\psi}_{\beta}H^{\alpha}$},
     journal = {Matemati\v{c}eskie zametki},
     pages = {939--952},
     publisher = {mathdoc},
     volume = {96},
     number = {6},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2014_96_6_a13/}
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Yu. I. Kharkevich; T. A. Stepanyuk. Approximation Properties of Poisson Integrals for the Classes~$C^{\psi}_{\beta}H^{\alpha}$. Matematičeskie zametki, Tome 96 (2014) no. 6, pp. 939-952. http://geodesic.mathdoc.fr/item/MZM_2014_96_6_a13/