The Christoffel function for the Hermite weight is bell-shaped

  • Authors:

  • Geno Nikolov

  • Affiliations:

  • Department of Mathematics, University of Sofia, 5 James Bourchier Blvd, Sofia 1164, Bulgaria

  • Venue:
  • Journal of Approximation Theory
  • Year:
  • 2003

Quantified Score

Hi-index 0.00

Visualization

Abstract

We show that the Christoffel function λn associated with the Hermite weight function WH(x) = exp(-x2) is bell-shaped. As a consequence, we describe completely how the weights in a Gauss-type quadrature formula associated with WH(x) are arranged in magnitude.