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math.FA2011
Lebesgue-Type inequalities for quasi-greedy bases
Eugenio Hernández
We show that for quasi-greedy bases in real Banach spaces the error of the thresholding greedy algorithm of order N is bounded by the best N-term error of approximation times a con…
math.CA2011
Restricted non-linear approximation in sequence spaces and applications to wavelet bases and interpolation
Eugenio Hernández, Daniel Vera
Restricted non-linear approximation is a type of N-term approximation where a measure on the index set (rather than the counting measure) is used to control the number of terms…