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arXiv · 2512.09210

On the Uniqueness of Best Non-decreasing Approximation in Orlicz Spaces

Ana Benavente·Juan Costa Ponce·Sergio Favier
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Abstract

Given an approximately continuous function $f$ in an Orlicz space $L^\Phi([a,b]),$ for a suitable class of convex functions $\Phi,$ we employ a characterization of the best monotone approximation set to establish its continuity, which in turn yields the uniqueness property for the best monotone approximation in $L^\Phi([a,b]).$

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Ana Benavente, Juan Costa Ponce, Sergio Favier. 2025-12-10. On the Uniqueness of Best Non-decreasing Approximation in Orlicz Spaces. https://arxiv.org/abs/2512.09210

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