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.

Published

25.04.2019

Issue

Section

Research articles