Accession Number : AD0662709

Title :   UNIFORM APPROXIMATION BY TCHEBYCHEFFIAN SPLINE FUNCTIONS. I. FIXED KNOTS.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Schumaker,L. L.

Report Date : AUG 1967

Pagination or Media Count : 33

Abstract : The best approximation (in the uniform norm) of a given continuous function by (Tchebycheffian) spline functions with fixed knots on an interval (a, b) is characterized in terms of an alternating property. The maximal alternator is studied, and uniqueness of the best approximation is precisely determined. Continuity of the best approximation and other related results are also obtained. (Author)

Descriptors :   (*APPROXIMATION(MATHEMATICS), FUNCTIONS(MATHEMATICS)), POLYNOMIALS, ALGORITHMS, INEQUALITIES, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE