On one Reverse asymptotic equality

  • O. V. Motorna Taras Shevchenko University of Kyiv
  • V. I. Shevchuk Taras Shevchenko University of Kyiv
DOI: https://doi.org/10.37863/umzh.v74i4.7111
Keywords: Bernstein constants, Chebyshev nodes, higher order asymptotics, best uniform approximation, Gamma-function

Abstract

УДК 517.5

We clarify an asymptotic equality proved by Revers for an interpolation analog of the classic Bernstein – Varga – Carpenter result.

References

M. Revers, Extremal polynomials and entire functions of exponential type, Res. Math., 2018, № 73, Article 73:109 (2018), https://doi.org/10.1007/s00025-018-0870-1 DOI: https://doi.org/10.1007/s00025-018-0870-1

M. Revers, Asymptotics of polynomial interpolation and the Bernstein constants, Res. Math., 2021, № 76, Article 76:100 (2021), https://doi.org/10.1007/s00025-021-01408-3 DOI: https://doi.org/10.1007/s00025-021-01408-3

Published
23.05.2022
How to Cite
MotornaO. V., and Shevchuk V. I. “On One Reverse Asymptotic Equality”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 74, no. 4, May 2022, pp. 572 -76, doi:10.37863/umzh.v74i4.7111.
Issue
Vol 74 No 4 (2022)
Section
Short communications

Copyright (c) 2022 Оксана Моторна, Віталій Шевчук

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.