Direct and inverse approximation theorems of functions in the Orlicz type spaces S_M
Classical Analysis and ODEs
2020-04-22 v1
Abstract
In the Orlicz type spaces , we prove direct and inverse approximation theorems in terms of the best approximations of functions and moduli of smoothness of fractional order. We also show the equivalence between moduli of smoothness and Peetre -functionals in the spaces .
Keywords
Cite
@article{arxiv.1901.07253,
title = {Direct and inverse approximation theorems of functions in the Orlicz type spaces S_M},
author = {Stanislav Chaichenko and Andrii Shidlich and Fahreddin Abdullayev},
journal= {arXiv preprint arXiv:1901.07253},
year = {2020}
}