Generalized Jacobi weights, Christoffel functions, and zeros of orthogonal polynomials Academic Article uri icon

abstract

  • We study generalized Jacobi weight functions in terms of their (generalized) degree. We obtain sharp lower and upper bounds for the corresponding Christoffel functions, and for the distance of the consecutive zeros of the corresponding orthogonal polynomials. The novelty of our results is that our constants depend only on the degree of the weight function but not on the weight itself. © 1992.

author list (cited authors)

  • Erdélyi, T., & Nevai, P.

citation count

  • 16

publication date

  • May 1992