A note concerning polyhyperbolic and related splines

07/01/2023

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by   Jeff Ledford, et al.

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This note concerns the finite 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 = pcosh(α·)+qsinh(α·) and t_α = p+qtanh(α·) between the nodes where p,q∈Π_k-1.