Communications in Information and Systems
Volume 4 (2004)
A Regularized Solution to the Birkhoff Interpolation Problem
Pages: 89 – 102
In this paper a relationship between the Birkhoff interpolation problem and the problem of control theoretic splines is established. It is shown that the Birkhoff interpolation problem has a solution if and only if a certain cost function remains bounded under perturbation of a suitably chosen variable.