2017
Том 69
№ 7

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Best $m$-term approximation of the classes $B ^{r}_{\infty, \theta}$ of functions of many variables by polynomials in the haar system

Stasyuk S. A.

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Abstract

We obtain the exact-order estimate for the best $m$-term approximation of the classes $B ^{r}_{\infty, \theta}$ of periodic functions of many variables by polynomials with respect to the Haar system in the metric of the space $L_q,\quad 1 < q < \infty$.

English version (Springer): Ukrainian Mathematical Journal 63 (2011), no. 4, pp 638-645.

Citation Example: Stasyuk S. A. Best $m$-term approximation of the classes $B ^{r}_{\infty, \theta}$ of functions of many variables by polynomials in the haar system // Ukr. Mat. Zh. - 2011. - 63, № 4. - pp. 549-555.

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