Accession Number : AD0618214

Title :   CONVEX POLYNOMIAL APPROXIMATION.

Descriptive Note : Technical rept.,

Corporate Author : STANFORD UNIV CALIF DEPT OF COMPUTER SCIENCE

Personal Author(s) : Rudin,Bernard D.

Report Date : 04 JUN 1965

Pagination or Media Count : 51

Abstract : The problem considered is that of obtaining polynomial approximations to continuous functions or empirical data in such a way that the approximating polynomials are convex in some prescribed interval. This problem arises naturally in connection with data smoothing and was in fact suggested to the author by a problem requiring the calculation of derivatives from data.

Descriptors :   (*FUNCTIONAL ANALYSIS, POLYNOMIALS), (*POLYNOMIALS, FUNCTIONAL ANALYSIS), (*CONVEX SETS, FUNCTIONAL ANALYSIS), LEAST SQUARES METHOD, NUMERICAL ANALYSIS

Distribution Statement : APPROVED FOR PUBLIC RELEASE