@article{Rovenska_Savchuk_Savchuk_2022, title={Approximation of holomorphic functions by Cesàro means}, volume={74}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/7143}, DOI={10.37863/umzh.v74i5.7143}, abstractNote={<p>UDC 517.5</p> <p>For 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.</p> <p> </p>}, number={5}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Rovenska O. G. and Savchuk V. V. and SavchukM. V.}, year={2022}, month={Jun.}, pages={676 - 684} }