Accession Number : AD0744320

Title :   Notes on Spline Functions. I. The Limits of the Interpolating Periodic Spline Functions as Their Degree Tends to Infinity.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Schoenberg,I. J.

Report Date : APR 1972

Pagination or Media Count : 21

Abstract : Let (S sub n)(x) be the periodic spline of degree (2n-1) that interpolates a given set of k data within the period. The limit of (S sub n) (x) is determined as the data are kept fixed and the author lets n approach infinity. (Author)

Descriptors :   (*INTERPOLATION, FUNCTIONS(MATHEMATICS)), POLYNOMIALS, THEOREMS

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE