A note concerning polyhyperbolic and related splines
Abstract
This note concerns the interpolation problem with two parametrized families of splines related to polynomial spline interpolation. The authors address the questions of uniqueness and establish basic convergence rates for splines of the form \(s_\alpha=p \cosh (\alpha \cdot)+q \sinh (\alpha \cdot)\) and \(t_\alpha=p+q \tanh (\alpha \cdot)\) between the nodes where \(p, q \in \Pi_{k-1}\).
Fields of Study & Subjects
Advanced Numerical Analysis Techniques
Image and Signal Denoising Methods
Publication details
- Journal / source
- Modern Mathematical Methods
- Volume
- 4
- Issue
- 2
- Pages
- 119–133
- Publication date
- 31 July 2026
- Language
- EN