Jackson-type inequalities and widths of functional classes in the Musielak-Orlicz type spaces
Classical Analysis and ODEs
2020-06-17 v1 Numerical Analysis
Numerical Analysis
Abstract
In the Musielak-Orlicz type spaces , exact Jackson-type inequalities are obtained in terms of best approximations of functions and the averaged values of their generalized moduli of smoothness. The values of Kolmogorov, Bernstein, linear, and projective widths in are found for classes of periodic functions defined by certain conditions on the averaged values of the generalized moduli of smoothness.
Keywords
Cite
@article{arxiv.2006.09103,
title = {Jackson-type inequalities and widths of functional classes in the Musielak-Orlicz type spaces},
author = {F. G. Abdullayev and S. O. Chaichenko and M. Imashkyzy and A. L. Shidlich},
journal= {arXiv preprint arXiv:2006.09103},
year = {2020}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2005.05597