Widths of functional classes defined by majorants of generalized moduli of smoothness in the spaces ${\mathcal S}^p$
Classical Analysis and ODEs
2020-05-13 v1 Numerical Analysis
Numerical Analysis
Abstract
Exact Jackson-type inequalities are obtained in terms of best approximations and averaged values of generalized moduli of smoothness in the spaces . The values of Kolmogorov, Bernstein, linear, and projective widths in the spaces 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.2005.05597,
title = {Widths of functional classes defined by majorants of generalized moduli of smoothness in the spaces ${\mathcal S}^p$},
author = {Fahreddin Abdullayev and Anatolii Serdyuk and Andrii Shidlich},
journal= {arXiv preprint arXiv:2005.05597},
year = {2020}
}