Approximation of differential functions and their derivatives by parabolic splines
The paper deals with the interpolation parabolic splines. The aim is to approximate not only the function but also its derivative in the metric of space C and \(L_ p\), \(1\leq p\leq \infty\). The problem of finding the exact estimation of the error on classes of functions is solved by studying the case in a particular interval of the partition.
scientific article; zbMATH DE number 3890071