Hyperbolic cross approximation with respect to wavelet system with compact supports

2017

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DOI 10.1063/1.5000604
Data confidence 70 medium
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Abstract

We obtain estimates sharp in order for hyperbolic cross approximation w.r.t. d−multiple wavelet system with compact supports ψ(d) of the Nikol’skii – Besov and Lizorkin – Triebel type classes associated with this system in the space Lq([0, 1]d) for a number of relations between the parameters of the classes and the space.