Sparse approximation of some function classes with respect to multiple Haar system on the unit cube

Dauren B. Bazarkhanov

2017

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DOI 10.1063/1.5000616
Data confidence 70 medium
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Abstract

In this paper we obtain order-sharp estimates of best N–term approximation w.r.t. the multiple (n–fold) Haar system χ(n) for the Nikol’skii – Besov and Lizorkin – Triebel type classes associated with this Haar system in the space Lr ([0, 1]n) (with 1 < r < ∞) for a number of relations between the parameters of the classes and the space.