3 papers
math.FA2026
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.…
math.FA2025
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…
math.FA2024
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…