Accession Number : AD0669031

Title :   APPROXIMATION OF ABSTRACT FUNCTIONS WITH VALUES IN THE HILBERT SPACE,

Corporate Author : GENERAL DYNAMICS/ASTRONAUTICS SAN DIEGO CALIF

Personal Author(s) : Zuhovotskii,S. I. ; Stechkin,S. N.

Report Date : 12 NOV 1958

Pagination or Media Count : 8

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.

Descriptors :   (*FUNCTIONAL ANALYSIS, *APPROXIMATION(MATHEMATICS)), HILBERT SPACE, OPERATORS(MATHEMATICS), INEQUALITIES, POLYNOMIALS, COMPLEX NUMBERS, MATRICES(MATHEMATICS), THEOREMS, USSR

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE