The generalized order and the generalized type of an entire function in terms of the best approximation

The paper explores connection between the generalized order and the generalized type of an entire function and the speed of the best polynomial approximation in the unit disk. The relations which define the generalized order and the generalized type of an entire function through the sequence of its...

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Bibliographic Details
Published inarXiv.org
Main Authors Dveyrin, Mykhaylo Z, Levadnaya, Antonina S
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 17.05.2014
Subjects
Approximation
Entire functions
Mathematical analysis
Polynomials
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Summary:The paper explores connection between the generalized order and the generalized type of an entire function and the speed of the best polynomial approximation in the unit disk. The relations which define the generalized order and the generalized type of an entire function through the sequence of its best approximations, have been found. The results were obtained by generalization previous results of A.R. Reddy, D. Sato, I.I. Ibragimov and N. I. Shyhaliev, S. B. Vakarchyk, R. Mamadov.
ISSN:2331-8422