On the uniqueness of best approximation in Orlicz spaces

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Authors: Ana Benavente, Juan Costa Ponce, Sergio Favier
Cited by: 0

Abstract

We study uniqueness of best approximation in Orlicz spaces $L^{\Phi},$ for different types of not necessarily strictly convex functions $\Phi$ and for some finite dimensional approximation classes of functions, where Tchebycheff spaces, and more general approximation ones, are involved.

Fields of Study & Subjects

Approximation Theory and Sequence Spaces Advanced Banach Space Theory Optimization and Variational Analysis

Publication details

Journal / source
Constructive Mathematical Analysis
Volume
9
Issue
2
Pages
62–71
Publication date
16 June 2026
Language
EN