On Polya Frequency Functions Iv: the Fundamental Spline Functions and Their Limits

The theory of spline functions is developed to a point which allows us to establish the properties of spline interpolation for the case of multiple nodes. The genesis of Polya frequency functions from spline functions is developed. (Author).

The theory of spline functions is developed to a point which allows us to establish the properties of spline interpolation for the case of multiple nodes.