Abstract:
We study the general problem of interpolation by polynomial splines and consider the construction of such splines using the coefficients of expansion of a certain derivative in B-splines. We analyze the properties of the obtained systems of equations and estimate the interpolation error.
Keywords:
polynomial splines, interpolation, construction algorithms.
Citation:
Yu. S. Volkov, “The general problem of polynomial spline interpolation”, Trudy Inst. Mat. i Mekh. UrO RAN, 22, no. 4, 2016, 114–125; Proc. Steklov Inst. Math. (Suppl.), 300, suppl. 1 (2018), 187–198