3 papers
math.FA2026
Convergence Analysis of Greedy Algorithms with Adaptive Relaxation in Hilbert Spaces
Pablo M. Berná, Andrea GarcÃa
The Power-Relaxed Greedy Algorithm (PRGA) was introduced as a generalization of the so called Relaxed Greedy Algorithm, introduced by DeVore and Temlyakov, by replacing the relaxat…
math.FA2025
Lebesgue-type estimates for greedy algorithms in quasi-Banach spaces
Miguel Berasategui, Pablo M. Berná, Hung Viet Chu +1
We continue the study of Lebesgue-type parameters for various greedy algorithms in quasi-Banach spaces. First, we introduce a parameter that can be used with the quasi-greedy param…
math.FA2025
Approximation spaces, greedy classes and Lorentz spaces
Miguel Berasategui, Pablo M. Berná, Andrea GarcÃa
We characterize the approximation spaces of a broad class of bases - which includes almost greedy bases - in terms of weighted Lorentz spaces. For those bases, we also find necessa…