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Abstract

In this paper, we investigate the problem of the deviation of a function  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 . 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.

Keywords

de la Vallée-Poussin Faber polynomials modulus of smoothness Morrey Smirnov classes.

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References

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