Geodesic
On the Order of Approximation by Riesz Means in Multiplicative Systems in the Classes~$E_X[\varepsilon]$
Matematičeskie zametki, Tome 89 (2011) no. 4, pp. 508-523.

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We establish the order of approximation by Riesz means of the Fourier series in a multiplicative system of a class of functions with given majorant of the sequence of best approximations. In some cases, approximations by Riesz means and best approximations are considered in a specific space, but, in other cases, approximations by Riesz means are considered in spaces with a stronger norm.
Keywords: Riesz mean, approximation by Riesz means, Fourier series, multiplicative system, Vilenkin system, Dirichlet kernel, Hardy space.
Mots-clés : Fejér kernel 
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T. V. Iofina. On the Order of Approximation by Riesz Means in Multiplicative Systems in the Classes~$E_X[\varepsilon]$. Matematičeskie zametki, Tome 89 (2011) no. 4, pp. 508-523. http://geodesic.mathdoc.fr/item/MZM_2011_89_4_a3/

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