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Approximation of functions by linear summation methods in the Orlicz type spaces (1910.12858v1)
Published 25 Oct 2019 in math.CA, cs.NA, and math.NA
Abstract: Approximative properties of linear summation methods of Fourier series are considered in the Orlicz type spaces ${\mathcal S}_{M}$. In particular, in terms of approximations by such methods, constructive characteristics are obtained for classes of functions whose smoothness moduli do not exceed a certain majorant.
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