Accession Number:

AD0669031

Title:

APPROXIMATION OF ABSTRACT FUNCTIONS WITH VALUES IN THE HILBERT SPACE,

Descriptive Note:

Corporate Author:

GENERAL DYNAMICS/ASTRONAUTICS SAN DIEGO CALIF

Personal Author(s):

Report Date:

1958-11-12

Pagination or Media Count:

8.0

Abstract:

The report describes the problem of finding the polynomial which deviates least from the given abstract function, that is, a polynomial for which the best approximation is obtained. This problem is a natural generalization of Chebyshevs problem of approximating real functions by real polynomials, approximating complex functions by complex polynomials, and vector functions with values in a finite-dimensional unitary space by vector polynomials.

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE