Approximation of analytic functions by the partial sums of Taylor series

• Date: 2015
• Main Authors: Gaevs'kyi, M. V., Zaderei, P. V., Гаєвський, М. В., Задерей, П. В.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2015
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2094
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We establish the estimates for the deviations of Taylor’s sums on the classes of analytic functions $H_\psi^\infty$, expressed via the best approximations of $\psi$-derivative functions by using the asymptotic equalities for the exact upper bounds of deviations of Taylor’s sums from functions of the...