English

Approximation by double second type delayed arithmetic mean of periodic functions in $H_{p}^{(\omega, \omega)}$ space

Classical Analysis and ODEs 2022-03-07 v1

Abstract

In this paper, we give a degree of approximation of a function in the space Hp(ω,ω)H_{p}^{(\omega, \omega)} by using the second type double delayed arithmetic means of its Fourier series. Such degree of approximation is expressed via two functions of moduli of continuity type. To obtain one more general result, we used the even-type double delayed arithmetic means of Fourier series as well.

Keywords

Cite

@article{arxiv.2203.01989,
  title  = {Approximation by double second type delayed arithmetic mean of periodic functions in $H_{p}^{(\omega, \omega)}$ space},
  author = {Xh. Z. Krasniqi and P. Kórus and B. Szal},
  journal= {arXiv preprint arXiv:2203.01989},
  year   = {2022}
}

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30 pages