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 ...

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 ...

The word "best" is heavily value laden and, therefore, "best practice" can only be discussed within a particular context; in this instance, higher education in the Caribbean. The Strategic Plan for the Caribbean Community ...

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. ...

This thesis develops a simple model to represent a procurement situation with two main features. The first is that the optimal level of production cannot be fully anticipated when suppliers build their plants due to demand ...

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, ...

The present study aimed to discuss the attendance of government open datasets related to the Stricto Sensu Graduate Evaluation available in the portal Dados Abertos Capes to data on the web best practices. The analysis ...

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 ...

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 ...

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 ...