Approximation properties of de la Vall´ee Poussin means for partial sums of a special series in Meixner polynomials

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 Vall´ee Poussin means for partial sums of the mentioned series. It is shown that for a function f the rate of the weighted approximation by Vall´ee Poussin means has the same order as the best weighted approximation of f.