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arXiv · 1109.3806

On greedy algorithms with respect to generalized Walsh system

Sergo A. Episkoposian
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Abstract

In this paper we proof that there exists a function f(x) belongs to L^1[0,1] such that a greedy algorithm with regard to generalized Walsh system does not converge to f(x) in L^1[0,1] norm, i.e. the generalized Walsh system is not a quasi-greedy basis in its linear span L^1[0,1].

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Sergo A. Episkoposian. 2011-09-17. On greedy algorithms with respect to generalized Walsh system. https://arxiv.org/abs/1109.3806

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