A note concerning polyhyperbolic and related splines
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866912570577780736 |
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| author | Ledford, Jeff Paris, Luke Urban, Ryan Vidanes, Alec |
| author_facet | Ledford, Jeff Paris, Luke Urban, Ryan Vidanes, Alec |
| contents | This note concerns the interpolation problem with two parametrized families of splines related to polynomial spline interpolation. We address the questions of uniqueness and establish basic convergence rates for splines of the form $ s_α= p\cosh(α\cdot)+q\sinh(α\cdot)$ and $t_α= p+q\tanh(α\cdot) $ between the nodes where $p,q\inΠ_{k-1}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_00343 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A note concerning polyhyperbolic and related splines Ledford, Jeff Paris, Luke Urban, Ryan Vidanes, Alec Numerical Analysis Functional Analysis 41A05, 41A15, 41A25 This note concerns the interpolation problem with two parametrized families of splines related to polynomial spline interpolation. We address the questions of uniqueness and establish basic convergence rates for splines of the form $ s_α= p\cosh(α\cdot)+q\sinh(α\cdot)$ and $t_α= p+q\tanh(α\cdot) $ between the nodes where $p,q\inΠ_{k-1}$. |
| title | A note concerning polyhyperbolic and related splines |
| topic | Numerical Analysis Functional Analysis 41A05, 41A15, 41A25 |
| url | https://arxiv.org/abs/2307.00343 |