Approximations of classes of generalized Poisson integrals by Fourier sums in metrics of spaces $L_{s}$

Published 9 Dec 2016 in math.CA | (1612.03012v1)

Abstract: In metrics of spaces $L_{s}, \ 1\leq s\leq\infty$, we find asymptotic equalities for upper bounds of approximations by Fourier sums on classes of generalized Poisson integrals of periodic functions, which belong to unit ball of space $L_{1}$.

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