Accession Number:

AD0419063

Title:

Tchebycheff Approximation and Related Extremal Problems

Descriptive Note:

Corporate Author:

BOEING SCIENTIFIC RESEARCH LABS SEATTLE WA MATHEMATICS RESEARCH LAB

Personal Author(s):

Report Date:

1963-08-01

Pagination or Media Count:

28.0

Abstract:

One of the principal maneuvers available for proving existence theorems is to establish that the desired point is where a continuous real-valued function achieves an extremum on a compact set. If the extremum sought is an infimum, then the functional need only be lower semicontinuous. The crux of an existence proof along these lines would then be the definition of an appropriate topology in which the functional is lower semicontinuous and the set compact.

Subject Categories:

  • Theoretical Mathematics
  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE