On a property of moduli of smoothness with Jacobi weights

Authors

  • 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

Keywords:

Moduli of smoothness

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

Issue

Section

Research articles

How to Cite

Nesterenko, O. N., et al. “On a Property of Moduli of Smoothness With Jacobi Weights”. Ukrains’kyi Matematychnyi Zhurnal, vol. 74, no. 4, May 2022, pp. 534-41, https://doi.org/10.37863/umzh.v74i4.7034.