Accession Number:

ADA038959

Title:

Orthogonal Polynomials.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1977-02-01

Pagination or Media Count:

120.0

Abstract:

The purpose of the present paper is to improve some results on orthogonal polynomials, Christoffel functions, orthogonal Fourier series, eigenvalues of Toeplitz matrices and Lagrange interpolation. In particular, the problem is of there being any weight w with compact support such that for each p2 the Lagrange interpolating polynomials corresponding to w diverge in Lpw for some continuous function f will be answered. Most of the paper deals with Christoffel functions and their applications. Many limit relations for orthogonal polynomials are found in the assumption that the coefficients in the recursion formula behave nicely.

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE