Accession Number : AD0767024

Title :   Methods for Constructing Combined Smoothing and Interpolating Spline Functions.

Descriptive Note : Technical rept.,

Corporate Author : ARIZONA STATE UNIV TEMPE DEPT OF MATHEMATICS

Personal Author(s) : Nielson,Gregory M.

Report Date : SEP 1973

Pagination or Media Count : 21

Abstract : A characterization of spline functions that combines interpolation and smoothing is presented. This characterization forms the basis of two methods for constructing these spline functions. The first method deals only with smoothing splines and is described for the case of Hermite-Birkhoff functionals. The second, which incorporates the first, applies to the combined problem and is described for the case of point evaluation functionals. (Author)

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

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE