Mixed modulus of smoothness and best approximation in Lorentz spaces
Classical Analysis and ODEs
2025-09-29 v1
Abstract
The article deals with the mixed modulus of smoothness of positive order and the best approximation by ''angle'' of functions from the Lorentz space . The properties of the mixed modulus of smoothness, the sharp version of the inverse theorem of approximation theory are proved.
Keywords
Cite
@article{arxiv.2509.22210,
title = {Mixed modulus of smoothness and best approximation in Lorentz spaces},
author = {G. Akishev},
journal= {arXiv preprint arXiv:2509.22210},
year = {2025}
}