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On the uniqueness of best approximation in Orlicz spaces

Functional Analysis 2024-06-17 v1 Classical Analysis and ODEs

Abstract

We study uniqueness of best approximation in Orlicz spaces LΦ\Phi, for different types of convex functions Φ\Phi and for some finite dimensional approximation classes of functions, where Tchebycheff spaces, and more general approximation ones, are involved

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Cite

@article{arxiv.2406.10021,
  title  = {On the uniqueness of best approximation in Orlicz spaces},
  author = {Ana Benavente and Juan Costa Ponce and Sergio Favier},
  journal= {arXiv preprint arXiv:2406.10021},
  year   = {2024}
}

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15 pages