Approximation of functions by linear summation methods in the Orlicz type spaces

Abstract

Approximative properties of linear summation methods of Fourier series are considered in the Orlicz type spaces ${\mathcal{S}}_M$. In particular, in terms of approximations by such methods, constructive characteristics are obtained for classes of functions whose smoothness moduli do not exceed a certain majorant.

arXiv admin note: text overlap with arXiv:1210.7996