3 papers
math.FA2020
A note on partially-greedy bases in quasi-Banach spaces
Pablo M. Berná
We continue with the study of greedy-type bases in quasi-Banach spaces started in [3]. In this paper, we study partially-greedy bases focusing our attention in two main results: -C…
math.FA2019
A remark on approximation with polynomials and greedy bases
Pablo M. Berná, Antonio Pérez
We investigate properties of the -th error of approximation by polynomials with constant coefficients and with modulus-constant coefficients $\mathcal{D}_{m…
math.FA2019
Characterization of weight-semi-greedy bases
Pablo M. Berná
One classical result in greedy approximation theory is that almost-greedy and semi-greedy bases are equivalent in the context of Schauder bases in Banach spaces with finite cotype.…