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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 ...
Best Lp-Approximant pair on small intervals
(Michigan State University Press, 2015-03)
In this paper we study the behavior of best Lp-approximations by algebraic polynomials pairs on union of intervals, when the measure of them tends to zero.
Best L 2 local approximation on two small intervals
(Taylor & Francis, 2016-02)
In this article, we introduce the τ condition, which is weaker than the L2 differentiability. If a function satisfies the τ condition on two points of, we prove the existence and characterization of the best local polynomial ...
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 ...
On a conjecture by Mbekhta about best approximation by polar factors
(American Mathematical Society, 2021-11)
The polar factor of a bounded operator acting on a Hilbert space is the unique partial isometry arising in the polar decomposition. It is well known that the polar factor might not be a best approximant to its associated ...
Inequalities for the Extended Best Polynomial Approximation Operator in Orlicz Spaces
(Springer Heidelberg, 2019-02)
In this paper we pursue the study of the best approximation operator extended from L^Φ to L^φ, where φ denotes the derivative of the function Φ. We get pointwise convergence for the coefficients of the extended best ...
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 ...
Polynomial inequalities on measurable sets in lorentz spaces and their applications
(Element, 2020-04)
In this short note, we study inequalities for algebraic polynomials on measurable sets in Lorentz spaces and discuss their applications to best approximation.
An extension of best L2 local approximation
(Unión Matemática Argentina, 2017-05)
We introduce two classes of functions, one containing the classof L2 differentiable functions, and another containing the class of L2 lateraldifferentiable functions. For functions in these new classes we prove existenceof ...