On the spline and B-spline approximation of a function

The functions are main mathematical main tools in describing and analyzing physical processes and phenomena in nature. Only in a few cases the functions modeling these phenomena are known explicitly, in the most of the cases there are used approximations. In this paper the power of the spline and B-spline approximation for a given function is presented. A code algorithm generates a table in which the values of these two approximations can be compared. The purpose of this utility programme is to be a didactic tool on how the B-spline functions perform a better approximation than the spline functions.