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Inequalities in Lp−1 for the extended Lp best approximation operator
(Elsevier Inc, 2012-09)
The best polynomial approximation operator was recently extended by one of the authors from Lp to Lp−1. In this paper, we study weak and strong inequalities for maximal operators related with the extended best polynomial ...
Best approximation by diagonal compact operators
(Elsevier Science Inc, 2013-09)
We study the existence and characterization properties of compact Hermitian operators C on a Hilbert space H such that the norm of C is less or equal to that of C + D , for all the real and compact diagonals D in a fixed ...
A characterization of the extended best φ-approximation operator
(Taylor & Francis, 2011-05)
Given an non necessarily linear operator T defined from an Orlicz space L φ′(Ω, , μ) into itself, where φ′ denote the derivative of a strictly convex function φ, we give necessary and sufficient conditions on T assuring ...
Extended best polynomial approximation operator in Orlicz Spaces
(Taylor & Francis, 2015-04)
In this article we consider the best polynomial approximation operator, defined in an Orlicz space L Φ(B), and its extension to L ϕ(B) where ϕ is the derivative function of Φ. A characterization of these operators and ...
Maximal inequalities for a best approximation operator in Orlicz spaces
(Adam Mickiewicz University in Poznań. Faculty of Mathematics and Computer Sciences, 2011-08)
In this paper we study a maximal operator Mf related with the best ϕ approximation by constants for a function f ∈ L ϕ 0 loc(ℝn), where we denote by ϕ 0 for the derivative function of the C1 convex function ϕ. We get a ...
The Banach ideal of A-compact operators and related approximation properties
(Elsevier, 2013-07-22)
We use the notion of A-compact sets (determined by an operator ideal A), introduced by Carl and Stephani (1984), to show that many known results of certain approximation properties and several ideals of compact operators ...
Weaker relatives of the bounded approximation property for a Banach operator ideal
(Academic Press Inc Elsevier Science, 2016-05)
Fixed a Banach operator ideal A, we introduce and investigate two new approximation properties, which are strictly weaker than the bounded approximation property (BAP) for A of Lima et al. (2010). We call them the weak BAP ...
Existence and characterization of best φ-approximations by linear subspaces
(Walter de Gruyter GmbH, 2017-07)
Given an Orlicz space Lφ, we give very relaxed sufficient conditions on φ to ensure that there exists a best φ-approximation from any finite dimensional bounded linear subspace S ⊂ Lφ. In addition, given an operator T, ...
Correction to: finite element approximation of the spectrum of the curl operator in a multiply connected domain
(Foundations of computational mathematics, 2020)
Approximation Algorithms For Sorting By Length-weighted Prefix And Suffix Operations
(ELSEVIER SCIENCE BVAMSTERDAM, 2015)