2017
Том 69
№ 6

All Issues

Best $m$-term trigonometric approximation for periodic functions with low mixed smoothness from the Nikol’skii – Besov-type classes

Stasyuk S. A.


Abstract

We establish the exact-order estimates of the best $m$-term trigonometric approximation for periodic multivariable functions (with low mixed smoothness) from the Nikol’skii – Besov-type classes.

Citation Example: Stasyuk S. A. Best $m$-term trigonometric approximation for periodic functions with low mixed smoothness from the Nikol’skii – Besov-type classes // Ukr. Mat. Zh. - 2016. - 68, № 7. - pp. 983-1003.