On the Uniqueness of Best Non-decreasing Approximation in Orlicz Spaces
Functional Analysis
2026-04-29 v2
Abstract
Given an approximately continuous function in an Orlicz space for a suitable class of convex functions 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
Keywords
Cite
@article{arxiv.2512.09210,
title = {On the Uniqueness of Best Non-decreasing Approximation in Orlicz Spaces},
author = {Ana Benavente and Juan Costa Ponce and Sergio Favier},
journal= {arXiv preprint arXiv:2512.09210},
year = {2026}
}