Open AccessThe best polynomial approximations of some classes of analytic functions in the Hardy spaces
Author(s) -
С. Б. Вакарчук,
V.I. Zabutna,
M.B. Vakarchuk
Publication year - 2018
Publication title -
vìsnik dnìpropetrovsʹkogo unìversitetu. serìâ matematika
Language(s) - English
Resource type - Journals
eISSN - 2518-7996
pISSN - 2312-9557
DOI - 10.15421/241802
Subject(s) - mathematics , hardy space , polynomial , analytic function , approximations of π , discrete mathematics , combinatorics , pure mathematics , mathematical analysis
Problems of the best polynomial approximation of classes of analytic functions $$$H^m_{p,R}$$$, $$$m\in \mathbb{Z}_+$$$, $$$R \geqslant 1$$$, $$$1 \leqslant p \leqslant \infty$$$, have been investigated in the Hardy spaces $$$H_p$$$. The best linear methods of approximation were constructed on the indicated classes.