English

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

Classical Analysis and ODEs 2019-10-29 v1 Numerical Analysis Numerical Analysis

Abstract

Approximative properties of linear summation methods of Fourier series are considered in the Orlicz type spaces SM{\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.

Keywords

Cite

@article{arxiv.1910.12858,
  title  = {Approximation of functions by linear summation methods in the Orlicz type spaces},
  author = {Stanislav Chaichenko and Viktor Savchuk and Andrii Shidlich},
  journal= {arXiv preprint arXiv:1910.12858},
  year   = {2019}
}

Comments

arXiv admin note: text overlap with arXiv:1210.7996

R2 v1 2026-06-23T11:57:31.806Z