Now showing items 1-10 of 2648
Weighted Best Local Approximation
(Global Science Press, 2016-04)
In this survey, the notion of a balanced best multipoint local approximation is fully exposed since they were treated in the Lp spaces and recent results in Orlicz spaces. The notion of balanced point, which was introduced ...
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 ...
Multipoint Padé approximants as limits of rational functions of best approximation in the complex domain
(Universidad de Jaén, 2018-10)
In this paper we study the behavior of best Lp-approximations by rational functions to an analytic function on union of disks, when the measure of them tends to zero.
Best local weighted approximation: an approach with abstract seminorms
(Michigan state university press, 2020-02)
In this paper, we extend results given by Z´o and Cuenya in 2007 about a general approach to problems of best vector-valued approximation on small regions from a finite dimensional subspace of polynomials of some degree. ...
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, ...
Weighted best local approximation in Orlicz space
We present a common fixed point theorem for generalized asymptotically nonexpansive and noncommuting mappings in normed linear spaces.
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 ...
A Note on Padé Approximants Pairs as Limits of Algebraic Polynomials Pairs of Weighted Best Approximation in Orlicz Spaces
(Global Science Press, 2015-10)
In this short note, we show the behavior in Orlicz spaces of best approximations by algebraic polynomials pairs on union of neighborhoods, when the measure of them tends to zero.