2017
Том 69
№ 7

All Issues

On one problem for comonotone approximation

Nesterenko A. N., Petrova T. O.

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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.

English version (Springer): Ukrainian Mathematical Journal 57 (2005), no. 10, pp 1667-1673.

Citation Example: Nesterenko A. N., Petrova T. O. On one problem for comonotone approximation // Ukr. Mat. Zh. - 2005. - 57, № 10. - pp. 1424–1429.

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