On a property of moduli of smoothness with Jacobi weights

  • O. N. Nesterenko Taras Shevchenko University of Kyiv
  • I. L. Petrova Taras Shevchenko University of Kyiv
  • A. V. Chaikovs'kyi Taras Shevchenko University of Kyiv
DOI: https://doi.org/10.37863/umzh.v74i4.7034

Abstract

UDC 517.5

We prove a generalization of an important inequality for moduli of smoоthness with Jacobi weights.

 

Author Biographies

O. N. Nesterenko, Taras Shevchenko University of Kyiv

 

 

A. V. Chaikovs'kyi, Taras Shevchenko University of Kyiv

 

 

References

K. A. Kopotun, D. Leviatan, I. A. Shevchuk, On moduli of smoothness with Jacobi weights, Укр. мат. журн., 70, № 3, 379 – 403 (2018). DOI: https://doi.org/10.1007/s11253-018-1509-9

K. A. Kopotun, D. Leviatan, I. A. Shevchuk, New moduli of smoothness: weighted DT moduli revisited and applied, Constr. Approxim., 42, 129 – 159 (2015), https://doi.org/10.1007/s00365-014-9270-2 DOI: https://doi.org/10.1007/s00365-014-9270-2

Z. Ditzian, V. Totik, Moduli of smoothness, Springer Ser. Comput. Math., 9, Springer (1987), https://doi.org/10.1007/978-1-4612-4778-4 DOI: https://doi.org/10.1007/978-1-4612-4778-4

K. I. Babenko, Osnovy chislennogo analiza, Nauka, Moskva(1986).

Published
23.05.2022
How to Cite
Nesterenko, O. N., I. L. Petrova, and A. V. Chaikovs’kyi. “On a Property of Moduli of Smoothness With Jacobi Weights”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 74, no. 4, May 2022, pp. 534 -1, doi:10.37863/umzh.v74i4.7034.
Issue
Vol 74 No 4 (2022)
Section
Research articles

Copyright (c) 2022 Andriy Chaikovs'kyi, Олексій Нестеренко, Ірина Петрова

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