APPROXIMATION by NONLINEAR FOURIER BASIS in GENERALIZED HÖLDER SPACES

Abstract

In this paper, the value of deviation of a function f from its nth generalized de la Vallèe-Poussin mean Vna(?, f) with respect to the nonlinear trigonometric system is estimated for the classes of 2?-periodic functions in the uniform normC(T) and in the generalized Hölder norm?? where f ? H??(T) and 0 ? ? < ? ? 1. © 2019 Yildiz Technical University. All Rights Reserved.