Accession Number : AD0728220

Title :   Generalized Smoothing Spline Functions for Operators,

Corporate Author : TEXAS UNIV AUSTIN CENTER FOR NUMERICAL ANALYSIS

Personal Author(s) : Munteanu,Marie-Jeanne

Report Date : MAR 1971

Pagination or Media Count : 14

Abstract : The purpose of this note is to generalize spline smoothing functions in analogy with the recent generalization introduced by A. Sard for spline interpolating functions. Using Sard's method, the author discusses the property of best approximation of the spline functions and improves the error estimate. A practical example is given to illustrate the utility of smoothing splines for operators. (Author)

Descriptors :   (*APPROXIMATION(MATHEMATICS), FUNCTIONS), INTERPOLATION, HILBERT SPACE, OPERATORS(MATHEMATICS), NUMERICAL ANALYSIS, BOUNDARY VALUE PROBLEMS, INTEGRATION

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE