Abstract
Approximative properties of linear summation methods of Fourier series are considered in the Orlicz-type spaces SM. In particular, in terms of approximations by such methods, constructive characteristics are obtained for the classes of functions whose moduli of smoothness do not exceed a certain majorant.
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Translated from Ukrains’kiĭ Matematychnyĭ Visnyk, Vol. 17, No. 2, pp. 152–170 April–June, 2020.
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Chaichenko, S., Savchuk, V. & Shidlich, A. Approximation of functions by linear summation methods in the Orlicz-type spaces. J Math Sci 249, 705–719 (2020). https://doi.org/10.1007/s10958-020-04967-y
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DOI: https://doi.org/10.1007/s10958-020-04967-y