2 papers
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…