TY - JOUR
AU - O. G. Rovenska
AU - V. V. Savchuk
AU - M. V. Savchuk
PY - 2022/06/17
Y2 - 2024/11/04
TI - Approximation of holomorphic functions by Cesàro means
JF - Ukrains’kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 74
IS - 5
SE - Research articles
DO - 10.37863/umzh.v74i5.7143
UR - https://umj.imath.kiev.ua/index.php/umj/article/view/7143
AB - UDC 517.5For the Lipschitz class of functions holomorphic in the disc, we present a constructive characterization of this class in terms of Cesaro’s means of order $\alpha \ge 2$ of the Taylor series. We solve the problem of exact upper bound for the deviations of Cesaro’s means of order $\alpha \ge 2$ as well as for the deviations of Riesz’s means of order 2 of the Taylor series in the class of functions holomorphic in the disc and having a bounded derivative.
ER -