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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 ...
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
(Springer, 2008-10)
We present a common fixed point theorem for generalized asymptotically nonexpansive and noncommuting mappings in normed linear spaces.
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.
The Best Multipoint Padé Approximant
(Taylor & Francis, 2018-09)
This paper is dealing with the problem of finding the best multipoint Padé approximant of an analytic function when data in some neighborhoods of sampling points are more important than others. More exactly, we obtain a ...
Best local approximations by abstract norms with non-homogeneous dilations
(Unión Matemática Argentina, 2008-12)
We introduce a concept of best local approximation using abstract norms and non-homogeneous dilations. The asymptotic behavior of the normalized error function as well as the limit of some net of best approximation polynomials ...
Weighted Best Local ||.|| - Approximation in Orlicz Spaces
(Universidad de Jaén, 2010-06-21)
In this paper we prove the existence of best multipoint local ||·||−approximation to a function f from an N−dimensional space SN for a suitable integer N. This problem is considered in an arbitrary Orlicz space for both ...