Variational Theory of Splines - Bezhaev, Anatoly Yu (Springer US, 2001)
The variational spline theory which originates from the well-known paper by J. e. Holliday ( 1957) is today a well-developed field in approximation theory. The general definition of splines in the Hilbert space , - is tence, uniqueness, and characterization theorems were obtained about 35 years ago by M. Atteia , P. J. Laurent, and P. M. Anselone, but in recent years important new results have been obtained in the abstract variational spline theory