Approximation of bounded holomorphic
and harmonic functions by Fejér means
Authors
V. V. Savchuk
M. V. Savchuk
Iн-т пiдготовки кадрiв держ. служби зайнятостi України, Київ
S. O. Chaichenko
Слов'ян. пед. ун-т
Abstract
We compute the exact values of the exact upper bounds on the classes of bounded holomorphic and harmonic functions
in a unit disk for the remainders in a Voronovskaya-type formula in the case of approximation by Fej´er means. We also
present some consequences that are of independent interest.