1 citations · 1 across the 2 of their papers we have counts for
4 papers
The best Musielak-Orlicz approximation by linear subspaces
Juan Costa Ponce, Sergio Favier, Fabián Levis
We study best modular approximation in Musielak-Orlicz spaces. A geometric classification near the origin of Orlicz functions is introduced to isolate weighted -like behavior.…
On the Uniqueness of Best Non-decreasing Approximation in Orlicz Spaces
Ana Benavente, Juan Costa Ponce, Sergio Favier
Given an approximately continuous function in an Orlicz space for a suitable class of convex functions we employ a characterization of the best monotone appr…
On the uniqueness of best approximation in Orlicz spaces
Ana Benavente, Juan Costa Ponce, Sergio Favier
We study uniqueness of best approximation in Orlicz spaces L, for different types of convex functions and for some finite dimensional approximation classes of functions, whe…
Extension of the Best Polynomial Operator in Generalized Orlicz spaces
Sonia Acinas, Sergio Favier, Rosa Lorenzo
In this paper, we consider the best multivalued polynomial approximation operator for functions in an Orlicz Space . We obtain its characterization involving and $ψ^+…