On the best polynomial approximation in some Banach spaces for functions analytical in the unit disk
type: Item
instance of: scholarly article
title: On the best polynomial approximation in some Banach spaces for functions analytical in the unit disk
zbMATH Open document ID: 0822.41006
DOI: 10.1007/BF02112471
author: Yanyan Li
published in: Mathematical Notes
publication date: 1995-07-10T00:00:00Z
review text: The paper is devoted to the characterization of some Banach space defined as a subspace of the Hardy space of functions analytic in the unit disk. The relation between the so-called finite order (in the present paper the case of order 0 is considered), finite type and logarithmic order of functions under consideration and, on the other side, the characteristics of the best polynomial approximation of an entire transcendental function are established. In the same way this characterizes the best approximation of the above entire functions.
reviewed by: Jacek Gilewicz
Mathematics Subject Classification ID: 41A10
Mathematics Subject Classification ID: 46E15
zbMATH DE Number: 771965
zbMATH Keywords: polynomial approximation
MaRDI profile type: Publication
cites work: Zeros of functions in the Bergman spaces
cites work: On a class of spaces of analytic functions
cites work: A contribution to best approximation in the L\(^2\) norm
cites work: Q4120822
cites work: On entire Dirichlet series of zero order
cites work: Approximation of an entire function
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description: scientific article; zbMATH DE number 771965