2019
Том 71
№ 11

All Issues

Approximation of bounded holomorphic and harmonic functions by Fejér means

Chaichenko S. O., Savchuk M. V., Savchuk V. V.


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.

Citation Example: Chaichenko S. O., Savchuk M. V., Savchuk V. V. Approximation of bounded holomorphic and harmonic functions by Fejér means // Ukr. Mat. Zh. - 2019. - 71, № 4. - pp. 516-542.