2017
Том 69
№ 7

All Issues

Multiple Haar basis and $m$-term approximations of functions from the Besov classes. II

Romanyuk V. S.


Abstract

We establish the exact-order estimates for the best $m$-term approximations in the multiple Haar basis $\mathrm{H}^d$ of functions from the Besov classes in the Lebesgue spaces $L_q(I^d)$. We also present a practical algorithm of the construction of the extreme nonlinear m-term aggregates (in a sense of the exact-order estimates for approximations).

Citation Example: Romanyuk V. S. Multiple Haar basis and $m$-term approximations of functions from the Besov classes. II // Ukr. Mat. Zh. - 2016. - 68, № 6. - pp. 816-825.