Asymptotics of approximation of conjugate functions by Poisson integrals

Authors

  • Yu. I. Kharkevych Faculty of Information Systems, Physics and Mathematics, Lesya Ukrainka Eastern European National University, 13 Volya Ave., Lutsk, 43025 Ukraine
  • K. V. Pozharska Institute of Mathematics of the National Academy of Sciences, 3 Tereschenkivska Str., Kiev, 01004 Ukraine

DOI:

https://doi.org/10.12697/ACUTM.2018.22.19

Keywords:

Poisson integral, asymptotic decomposition, Kolmogorov–Nikol'skii problem, conjugate function

Abstract

We obtain a decomposition of the upper bound for the deviation of Poisson integrals of conjugate periodic functions. The decomposition enables one to provide the Kolmogorov–Nikol'skii constants of an arbitrary order.

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Published

2019-01-02

Issue

Vol. 22 No. 2 (2018)

Section

Articles