On the uniqueness of best approximation in Orlicz spaces

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.

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Publication Details

Journal
Constructive Mathematical Analysis
Published
2026-06-16
DOI
https://doi.org/10.33205/cma.1883206
Primary Topic
Approximation Theory and Sequence Spaces
Type
preprint
Field-Weighted Citation Impact
0.00
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preprint

On the uniqueness of best approximation in Orlicz spaces

Ana Benavente, Sergio Favier, Juan Costa Ponce
Constructive Mathematical Analysis
Approximation Theory and Sequence Spaces
preprint

On the uniqueness of best approximation in Orlicz spaces

Ana Benavente, Sergio Favier, Juan Costa Ponce
preprint en

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.

Constructive Mathematical AnalysisVol. 9(2)
Consejo Nacional de Investigaciones Científicas y Técnicas (AR), National University of San Luis (AR)
Openalex Percentile: Top 99%
Approximation Theory and Sequence Spaces
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