5 citations · 7 across the 7 of their papers we have counts for
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Lebesgue-type inequalities in greedy approximation
Stephen Dilworth, Gustavo Garrigos, Eugenio Hernandez +2
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…
Lebesgue inequalities for Chebyshev Thresholding Greedy Algorithms
Pablo M. Berná, Oscar Blasco, Gustavo Garrigós +2
We establish estimates for the Lebesgue parameters of the Chebyshev Weak Thresholding Greedy Algorithm in the case of general bases in Banach spaces. These generalize and slightly…
Embeddings and Lebesgue-type inequalities for the greedy algorithm in Banach spaces
P. M. Berná, O. Blasco, G. Garrigós +2
We obtain Lebesgue-type inequalities for the greedy algorithm for arbitrary complete seminormalized biorthogonal systems in Banach spaces. The bounds are given only in terms of the…
Lebesgue inequalities for the greedy algorithm in general bases
Pablo M. Berná, Gustavo Garrigós, Óscar Blasco
We present various estimates for the Lebesgue constants of the thresholding greedy algorithm, in the case of general bases in Banach spaces. We show the optimality of these estimat…
Conditional quasi-greedy bases in Hilbert and Banach spaces
G. Garrigos, P. Wojtaszczyk
We show that, for quasi-greedy bases in Hilbert spaces, the associated conditionality constants grow at most as , for some , answering a question by Temlyakov…
Lebesgue type inequalities for quasi-greedy bases
Gustavo Garrigós, Eugenio Hernández, Timur Oikhberg
We show that for quasi-greedy bases in real or complex Banach spaces the error of the thresholding greedy algorithm of order N is bounded by the best N- term error of approximation…