Work

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

Year: 2025

Type: article

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 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.

Source: Russian Mathematics

DOI: 10.26907/0021-3446-2025-9-38-49

Author: R. M. Gadzhimirzaev

Institutions: Russian Academy of Sciences, Dagestan Scientific Center of the Russian Academy of Sciences

Language: English

Topic: Approximation Theory and Sequence Spaces

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4415080287

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Cites: 9

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