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Best Simultaneous Monotone Approximants in Orlicz Spaces
(Taylor & Francis, 2013-01)
Let f = (f1, , fm ), where fj belongs to the Orlicz space [0, 1], and let w = (w1, , wm ) be an m-tuple of m positive weights. If ⊂ [0, 1] is the class of nondecreasing functions, we denote by ,w(f, ) the set of best ...
On convergence of subspaces generated by dilations of polynomials. An application to best local approximation
(Unión Matemática Argentina, 2020-02-18)
We study the convergence of a net of subspaces generated by dilations of polynomials in a finite dimensional subspace. As a consequence, we extend the results given by Z´o and Cuenya [Advanced Courses of Mathematical ...
Maximal Inequalities for the best polynomial approximation operators and Simonenko indices
(Global Science Journal, 2017-09)
In an abstract set up, we get strong type inequalities in L^p+1 by assuming weak or extra-weak inequalitie in Orlicz spaces. For some classes of functions, the number p is related to Simonenko indices. We apply the results ...
Extension of the Best Constant Approximation Operator in Orlicz Spaces
(Taylor & Francis, 2020-04)
In this article we deal with the best φ-approximation operator by constants extended from an Orlicz space Lφ(Ω) to the space Lψ+ (Ω) where ψ+ denotes the right derivative of the function φ. We obtain pointwise convergence ...
Best simultaneous L p-approximation on small regions
(Taylor, 2015-01)
In this article, we study the behavior of best simultaneous L p-approximation by algebraic polynomials on a union of intervals when the measure of them tend to zero. We also get an interpolation result.
Fixed-Parameter approximation schemes for weighted flowtime
(Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing, 2018)
Given a set of n jobs with integral release dates, processing times and weights, it is a natural and
important scheduling problem to compute a schedule that minimizes the sum of the weighted flow
times of the jobs. There ...
A new concept of smoothness in Orlicz spaces
(Universidad de Barcelona, 2021-09-17)
In a 2015 article Cuenya and Ferreyra defined a class of functions in Lp-spaces, denoted by cpn(x). The class cpn(x) contains the class of Lp -differentiability functions, denoted by tpn(x), introduced in a 1961 article ...
Best Simultaneous Local Approximation in the Lp Norms
(Taylor & Francis, 2017-06)
We study the behavior of the best simultaneous approximation to two functions from a convex set in Lp spaces, 2<p<∞, on a finite union of intervals when its measure tends to zero. In particular, we give sufficient conditions ...
Approximation by partial isometries and symmetric approximation of finite frames
(Birkhauser Boston Inc, 2018-08)
We solve the problem of best approximation by partial isometries of given rank to an arbitrary rectangular matrix, when the distance is measured in any unitarily invariant norm. In the case where the norm is strictly convex, ...