Abstract
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.
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Original Russian Text © T. V. Iofina, 2011, published in Matematicheskie Zametki, 2011, Vol. 89, No. 4, pp. 508–523.
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Iofina, T.V. On the order of approximation by Riesz means in multiplicative systems in the classes E X [ɛ]. Math Notes 89, 484–498 (2011). https://doi.org/10.1134/S0001434611030205
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DOI: https://doi.org/10.1134/S0001434611030205