Accession Number : AD0637533

Title :   SIMULTANEOUS APPROXIMATION OF CERTAIN FUNCTIONS BY POLONOMIALS AND THEIR DERIVATIVES.

Corporate Author : AERONAUTICAL CHART AND INFORMATION CENTER ST LOUIS MO LINGUISTIC SECTION

Personal Author(s) : Chatskaya,E. Sh.

Report Date : JUN 1966

Pagination or Media Count : 11

Abstract : The extreme problems connected with simultaneous approximation of two functions are investigated. One of the functions is approximated by polynomials P sub n, and the second one by the derivatives of these polynomials or (in a wider sense) by polynomials NP sub n, where N is a certain linear operator. Of special interest is the characteristic properties of the extreme polynomials, problems of their uniqueness, and the determination of the connection between the approximate problems and some other problems that are reciprocal to them. (Author)

Descriptors :   (*APPROXIMATION(MATHEMATICS), *FUNCTIONS(MATHEMATICS)), (*POLYNOMIALS, APPROXIMATION(MATHEMATICS)), SIMULTANEOUS EQUATIONS, MATHEMATICS, USSR

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE