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Cardinal Interpolation and Spline Functions IV. The Exponential Euler Splines

1972; Linguagem: Inglês

10.1007/978-3-0348-7283-6_34

I. J. Schoenberg,

Polynomial and algebraic computation

As background for our discussion we recall a result from [10]. First a few definitions. Let l n denote the class of cardinal spline functions S(x) of degree n (n≧1) having their knots at the integer points of the real axis. This means that S(x)∈l n, provided that the restriction of S(x) to every unit interval (v, v + 1) is a polynomial of degree n at most.