Weighted Fejér Constants and Fekete Sets

Abstract

We give the connections among the Fekete sets, the zeros of orthogonal polynomials, $1(w)$-normal point systems, and the nodes of a stable and most economical interpolatory process via the Fejér contants. Finally the convergence of a weighted Grünwald interpolation is proved.

15 pages

Cited by in corpus (1)

• The Electrostatic Properties of Zeros of Exceptional Laguerre and Jacobi Polynomials and stable interpolation