Approximations by entire functions on countable unions of segments of the real axis
type: Item
instance of: scholarly article
title: Approximations by entire functions on countable unions of segments of the real axis
zbMATH Open document ID: 1393.30029
DOI: 10.3103/S1063454116040130
published in: Vestnik St. Petersburg University. Mathematics
publication date: 2018-04-04T00:00:00Z
review text: The authors formulate a theorem on the possibility of a prescribed-rate approximation of functions from Hölder classes on countable unions of segments by entire functions. This theorem is proved in [the authors, Vestn. St. Petersbg. Univ., Math. 50, No. 1, 35--43 (2017; Zbl 1382.41007); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 62, No. 1, 53--63 (2017)].
reviewed by: Yuri A. Farkov
Mathematics Subject Classification ID: 30E10
Mathematics Subject Classification ID: 30D15
zbMATH DE Number: 6855781
zbMATH Keywords: Hölder classes
zbMATH Keywords: entire functions of exponential type
zbMATH Keywords: approximation on subsets of the real axis
author: O. V. Sil'vanovich
author: N. A. Shirokov
MaRDI profile type: Publication
cites work: Pseudoanalytic extension of smooth functions. The uniform scale
cites work: The pseudoanalytic extension
cites work: CONFORMAL MAPPINGS AND THE APPROXIMATION OF ANALYTIC FUNCTIONS IN DOMAINS WITH A QUASICONFORMAL BOUNDARY
cites work: Q5642791
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description: scientific article; zbMATH DE number 6855781