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arXiv · 1209.1378

On the Convergence of a Weak Greedy Algorithm for the Multivariate Haar Basis

S. J. Dilworth·S. Gogyan·Denka Kutzarova
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Abstract

We define a family of weak thresholding greedy algorithms for the multivariate Haar basis for $L_1[0,1]^d$ ($d \ge 1$). We prove convergence and uniform boundedness of the weak greedy approximants for all $f \in L_1[0,1]^d$.

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S. J. Dilworth, S. Gogyan, Denka Kutzarova. 2012-09-06. On the Convergence of a Weak Greedy Algorithm for the Multivariate Haar Basis. https://arxiv.org/abs/1209.1378

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