2017
Том 69
№ 9

All Issues

Approximation of analytic functions by the partial sums of Taylor series

Gaevs'kyi M. V., Zaderei P. V.


Abstract

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 same class.

Citation Example: Gaevs'kyi M. V., Zaderei P. V. Approximation of analytic functions by the partial sums of Taylor series // Ukr. Mat. Zh. - 2015. - 67, № 12. - pp. 1602-1619.