On one problem for comonotone approximation

  • A. N. Nesterenko
  • T. O. Petrova

Abstract

For a comonotone approximation, we prove that an analog of the second Jackson inequality with generalized Ditzian - Totik modulus of smoothness $\omega^{\varphi}_{k, r}$ is invalid for $(k, r) = (2, 2)$ even if the constant depends on a function.
Published
25.10.2005
How to Cite
NesterenkoA. N., and PetrovaT. O. “On One Problem for Comonotone Approximation”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 57, no. 10, Oct. 2005, pp. 1424–1429, https://umj.imath.kiev.ua/index.php/umj/article/view/3697.
Section
Short communications