2019
Том 71
№ 4

All Issues

Petrova T. O.

Articles: 1
Brief Communications (Russian)

On one problem for comonotone approximation

Nesterenko A. N., Petrova T. O.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 2005. - 57, № 10. - pp. 1424–1429

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.