Approximation properties of De La Vallée-Poussin sums in Morrey spaces

الملخص EN

In this paper, we investigate the problem of the deviation of a function f from its de la Vallée-Poussin sums of Fourier series in Morrey spaces defined on the unite circle in terms of the best approximation to f.

Moreover, approximation properties of de la Vallée-Poussin sums of Faber series in Morrey-Smirnov classes of analytic functions, defined on a simply connected domain bounded by a curve satisfying Dini's smoothness condition are obtained.