2017
Том 69
№ 7

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Best $m$-term trigonometric approximation for the classes $B^r_{p,θ}$ of functions of low smoothness

Stasyuk S. A.

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Abstract

We obtain an exact-order estimate for the best $m$-term trigonometric approximation of the Besov classes $B^r_{p,θ}$ of periodic functions of many variables of low smoothness in the space $L_q, \; 1 < p ≤ 2 < q < ∞$.

English version (Springer): Ukrainian Mathematical Journal 62 (2010), no. 1, pp 114-122.

Citation Example: Stasyuk S. A. Best $m$-term trigonometric approximation for the classes $B^r_{p,θ}$ of functions of low smoothness // Ukr. Mat. Zh. - 2010. - 62, № 1. - pp. 104–111.

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