APPROXIMATION OF ABSTRACT FUNCTIONS WITH VALUES IN THE HILBERT SPACE,

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 Chebyshev's 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.

Document Details

Document Type
Technical Report
Publication Date
Nov 12, 1958
Accession Number
AD0669031

Entities

People

  • S. I. Zuhovotskii
  • S. N. Stechkin

Organizations

  • General Dynamics

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Hilbert Space
  • Mathematics
  • Polynomials

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Linear Algebra

Technology Areas

  • Space