Open AccessBest approximation of holomorphic functions from hardy space in terms of Taylor coefficients
Author(s) -
F. G. Аbdullayev,
G. A. Abdullayev,
V. V. Savchuk
Publication year - 2019
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1905417a
Subject(s) - holomorphic function , mathematics , hardy space , space (punctuation) , taylor series , polynomial , identity theorem , pure mathematics , mathematical analysis , combinatorics , discrete mathematics , philosophy , linguistics
We describe the set of holomorphic functions from the Hardy space Hq, 1 ? q ? ?, for which the best polynomial approximation En(f)q is equal to |f (n)(0)|=n!.