6 papers · 1 filter
Non-linear approximation by -greedy bases
Pablo M. Berná, David González
The theory of greedy-like bases started in 1999 when S. V. Konyagin and V. N. Temlyakov introduced in \cite{KT} the famous Thresholding Greedy Algorithm. Since this year, different…
Universality for non-linear convex variational problems
Pablo M. Berná, Antonio Falcó
This article introduces an innovative mathematical framework designed to tackle non-linear convex variational problems in reflexive Banach spaces. Our approach employs a versatile…
Extensions and new characterizations of some greedy-type bases
Miguel Berasategui, Pablo M. Berná, Hung Viet Chu
Partially greedy bases in Banach spaces were introduced by Dilworth et al. as a strictly weaker notion than the (almost) greedy bases. In this paper, we study two natural ways to s…
On Approximation Spaces and Greedy-type Bases
Pablo M. Berná, Hung Viet Chu, Eugenio Hernández
The purpose of this paper is to introduce -Chebyshev-greedy and -partially greedy approximation classes and to study their relation with -approximation spaces, where the l…
Extensions of democracy-like properties for sequences with gaps
Miguel Berasategui, Pablo M. Berná
In \cite{O2015}, T. Oikhberg introduced and studied variants of the greedy and weak greedy algorithms for sequences with gaps. In this paper, we extend some of the notions that app…
On some characterizations of greedy-type bases
Pablo M. Berná, Hung Viet Chu
In 1999, S. V. Konyagin and V. N. Temlyakov introduced the so-called Thresholding Greedy Algorithm. Since then, there have been many interesting and useful characterizations of gre…