We study the convergence of interpolation processes by Subbotin polynomial splines of even degree. We prove that the good conditionality of a system of equations for constructing an interpolation spline via the coefficients of the expansion of the kth derivative in B-splines is equivalent to the convergence of the interpolation process for the kth derivative of the spline in the class of functions with continuous kth derivative.
- construction algorithm
- norm of a projector
- Subbotin spline of even degree