Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lebesgue-type inequalities in greedy approximation   We present new results regarding Lebesgue-type inequalities for the Weak
Chebyshev Greedy Algorithm (WCGA) in uniformly smooth Banach spaces. We improve
earlier bounds in Temlyakov (Forum Math Sigma 2014), for dictionaries
satisfying a new property introduced here. We apply these results to derive
optimal bounds in two natural examples of sequence spaces. In particular,
optimality is obtained in the case of the multivariate Haar system in Lp with
1<p<2, under the Littlewood-Paley norm.

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The categories of this paper are: astro-ph
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The categories of this paper are: physics
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The categories of this paper are: funct-an
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The categories of this paper are: alg-geom
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The categories of this paper are: eess
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The categories of this paper are: atom-ph
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The categories of this paper are: stat
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-bio
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The categories of this paper are: econ
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The categories of this paper are: bayes-an
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The categories of this paper are: chem-ph
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat