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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…
math.CA2024★ 1 cited
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^+…