Listar Dpto. Estadística, Informática y Matemáticas - Estatistika, Informatika eta Matematika Saila [desde mayo 2018 / 2018ko maiatzetik] por autor "Berná, Pablo M."
Mostrando ítems 1-5 de 5
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Asymptotic greediness of the Haar system in the spaces Lp[0 , 1] , 1< p< ∞
Albiac Alesanco, Fernando José
; Ansorena, José L.; Berná, Pablo M. (Springer, 2019)
Artículo / Artikulua 
Our aim in this paper is to attain a sharp asymptotic estimate for the greedy constant Cg[H(p), Lp] of the (normalized) Haar system H(p) in Lp[0 , 1] for 1 < p < ∞. We will show that the super-democracy constant of H(p) ... -
Bidemocratic bases and their connections with other greedy-type bases
Albiac Alesanco, Fernando José ; Ansorena, José L.; Berasategui, Miguel; Berná, Pablo M.; Lassalle, Silvia (Springer, 2023)
Artículo / Artikulua
In nonlinear greedy approximation theory, bidemocratic bases have traditionally played the role of dualizing democratic, greedy, quasi-greedy, or almost greedy bases. In this article we shift the viewpoint and study them ... -
Greedy approximation for biorthogonal systems in quasi-Banach spaces
Albiac Alesanco, Fernando José ; Ansorena, José L.; Berná, Pablo M.; Wojtaszczyk, Przemyslaw (Instytut Matematyczny, 2021)
Artículo / Artikulua
The general problem addressed in this work is the development of a systematic study of the thresholding greedy algorithm for general biorthogonal systems in quasi-Banach spaces from a functional-analytic point of view. If ... -
New parameters and Lebesgue-type estimates in greedy approximation
Albiac Alesanco, Fernando José ; Ansorena, José L.; Berná, Pablo M. (Cambridge University Press, 2022)
Artículo / Artikulua
The purpose of this paper is to quantify the size of the Lebesgue constants (𝑳𝑚)∞ 𝑚=1 associated with the thresholding greedy algorithm in terms of a new generation of parameters that modulate accurately some features ... -
Weak forms of unconditionality of bases in greedy approximation
Albiac Alesanco, Fernando José ; Ansorena, José L.; Berasategui, Miguel; Berná, Pablo M.; Lassalle, Silvia (Instytut Matematyczny, 2022)
Artículo / Artikulua
We study a new class of bases, weaker than quasi-greedy bases, which retain their unconditionality properties and can provide the same optimality for the thresholding greedy algorithm. We measure how far these bases are ...
