On one Reverse asymptotic equality

Authors

  • 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

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Published

23.05.2022

Issue

Vol. 74 No. 4 (2022)

Section

Short communications

How to Cite

Motorna, O. V., and V. I. Shevchuk. “On One Reverse Asymptotic Equality”. Ukrains’kyi Matematychnyi Zhurnal, vol. 74, no. 4, May 2022, pp. 572-6, https://doi.org/10.37863/umzh.v74i4.7111.