Accession Number : AD0674456

Title :   A GENERAL METHOD FOR THE CONSTRUCTION OF INTERPOLATING OF SMOOTHING SPLINE-FUNCTIONS.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Anselone,P. M. ; Laurent,P. J.

Report Date : DEC 1967

Pagination or Media Count : 35

Abstract : The spline interpolation problem was generalized by Atteia to an abstract minimization problem in a Hilbert space setting. In this paper, new and efficient derivations of the general existence and uniqueness theorems are given, plus a constructive procedure for obtaining the desired approximations. Several practical examples illustrate the methods. (Author)

Descriptors :   (*FUNCTIONAL ANALYSIS, *INTERPOLATION), HILBERT SPACE, APPROXIMATION(MATHEMATICS), THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE