Accession Number : AD0758694

Title :   Splines with Non-Negative B-Spline Coefficients,

Corporate Author : TEXAS UNIV AUSTIN CENTER FOR NUMERICAL ANALYSIS

Personal Author(s) : Boor,C. de ; Daniel,James W.

Report Date : MAR 1973

Pagination or Media Count : 6

Abstract : The authors consider the question of the approximation of non-negative functions by non-negative splines of order k (degree <k) compared with approximation by that subclass of non-negative splines of order k consisting of all those whose B-spline coefficients are non-negative; while approximation by the former gives errors of order R sub K), the latter may yield only (h sup 2). These results are related to certain facts about quasi-interpolants. (Author)

Descriptors :   (*APPROXIMATION(MATHEMATICS), FUNCTIONS(MATHEMATICS)), INEQUALITIES, INTERPOLATION

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE