On a Connection of Bernstein and Kantorovich Polynomials for a Symmetric Modulus Function

We discuss a connection of Bernstein and Kantorovich polynomials in the case of a symmetric modulus function. Some new results on the matter are presented.

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Bibliographic Details
Published inSiberian mathematical journal Vol. 64; no. 3; pp. 747 - 756
Main Authors Okorochkov, I. V., Tikhonov, I. V., Sherstyukov, V. B.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.05.2023
Springer Nature B.V
Subjects
Mathematics
Mathematics and Statistics
Polynomials
symmetric modulus function
517.518.82
rate of convergence
estimates of deviation
Kantorovich polynomials
Bernstein polynomials
convergence in the complex plane
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Summary:We discuss a connection of Bernstein and Kantorovich polynomials in the case of a symmetric modulus function. Some new results on the matter are presented.
ISSN:0037-4466
1573-9260
DOI:10.1134/S0037446623030230