Speed of polynomial approximation entire functions and their properties

2014/02/13 by Mykhaylo Z. Dveyrin, Dveyrin, M.
Mathematics · #41A10 #41A25 #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Meromorphic and Entire Functions

paper · pdf · doi:10.48550/arxiv.1402.3218

openalex publication_date 2014/02/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The paper explores connection between the order and the type of an entire function and the speed of the best polynomial approximation in the unit disk. The relations which define the order and the type of an entire function through the sequence of its best approximations, have been found. The results were obtained by generalization previous results of Reddy, I.I. Ibragimov and N. I. Shyhaliev, S. B. Vakarchyk, R. Mamadov. (Rus)

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