English

Approximation by linear methods of classes of $(\psi,\bar\beta)-$differentiable functions

Classical Analysis and ODEs 2013-03-07 v1

Abstract

We calculate the least upper bounds for approximations in the metric of the space L2L_2 by linear methods of summation of Fourier series on classes of periodic functions Lβˉ,1ψL^\psi_{\bar\beta,1} defined by sequences of multipliers ψ=ψ(k)\psi=\psi(k) and shifts of argument βˉ=βk\bar\beta=\beta_k.

Keywords

Cite

@article{arxiv.1303.1300,
  title  = {Approximation by linear methods of classes of $(\psi,\bar\beta)-$differentiable functions},
  author = {A. S. Serdyuk and I. V. Sokolenko},
  journal= {arXiv preprint arXiv:1303.1300},
  year   = {2013}
}

Comments

8 pages, in Russian

R2 v1 2026-06-21T23:37:26.682Z