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2015
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We study the approximative properties of L q -greedy algorithms with respect to the wellknown system U d of shifts of Dirichlet kernels on the Nikol′skiĭ-Besov classes $SB_{p\theta }^r (\mathbb{T}^d )$ and the Lizorkin-Triebel classes $SF_{p\theta }^r (\mathbb{T}^d )$ of functions of mixed smoothness.