Abstract:
The study of special series in Meixner polynomials, that was started in the author's previous works, is continued. The present paper is devoted to the study of approximation properties of de la Vallée Poussin means for partial sums of the mentioned series. It is shown that for a function $f$ the rate of the weighted approximation by Vallée Poussin means has the same order as the best weighted approximation of $f$.
Keywords:Meixner polynomial, special series, approximation properties, de la Vallée Poussin means.
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