Furkejuvvon:
| Váldodahkki: | |
|---|---|
| Materiálatiipa: | Preprint |
| Almmustuhtton: |
2025
|
| Fáttát: | |
| Liŋkkat: | https://arxiv.org/abs/2512.03633 |
| Fáddágilkorat: |
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Sisdoallologahallan:
- We present an approximation theorem for continuous non-decreasing functions on compact preordered spaces, leading to an algebraic characterization of their corresponding function spaces. As an application, we prove that the family of positive non-decreasing rational functions with non-negative coefficients can uniformly approximate all continuous non-decreasing functions on compact intervals. An explicit approximation formula of this type is provided.