Constrained shape preserving rational cubic fractal interpolation functions
In this paper, the authors discuss the construction of \({\mathcal C}^1\)-rational cubic fractal interpolation function of a given data set, together with the error estimate of the approximation with the original function. When the data set is constrained between two piecewise straight lines, they derive sufficient conditions such that the interpolation function lies between those two lines. Numerical examples illustrate their theoretical results.
scientific article; zbMATH DE number 6866701
scientific article