Accession Number:

AD0603822

Title:

SOME APPLICATIONS OF A THEOREM ON CONVEX FUNCTIONS

Descriptive Note:

Corporate Author:

RAND CORP SANTA MONICA CA

Personal Author(s):

Report Date:

1949-04-18

Pagination or Media Count:

11.0

Abstract:

This paper presents several applications of the theory developed elsewhere AD-603 820. The results established here depend upon a fundamental theorem on convex functions, previously used in relation to the Theory of Games. Certain extensions of Hellys theorem, approximation and fitting results, and covering theorems for the n dimensional unit sphere are obtained. All these are intrinsically connected with one another. The authors believe they possess independent interest.

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE