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Convergence of some greedy algorithms in Banach spaces

A 2001 Preprint by S. Dilworth, D. Kutzarova, and V. Temlyakov

  • 2001:14
  • We consider some theoretical greedy algorithms for approximation in Banach spaces with respect to a general dictionary. We prove convergence of the algorithms for Banach spaces which satisfy certain smoothness assumptions. We compare the algorithms and their rates of convergence when the Banach space is $L _ p(T^d)$ ($1<p<\infty$) and the dictionary is the trigonometric system.

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