Orthogonal Polynomials.
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 p>2 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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 1977
- Accession Number
- ADA038959
Entities
People
- Paul G. Nevai
Organizations
- University of Wisconsin–Madison