3 papers
math.FA2026
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 ap…
math.CA2025
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 $…
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, w…