The convergence rate of the group $\ varphi $ -deviations in the class of analytic functions $ H ^ \ psi_ \ infty $

Abstract

We obtain estimates of convergence for groups $\varphi$-deviations and $\varphi$-averages of $\lambda$-methods to
Taylor's series summation of functions from the class $H_\infty^\psi$, where the sequence $\psi$ satisfies conditions of the
Sidon--Telyakovskii.