L1-norm convergence of Hermite-Fejér interpolation based on the Laguerre and Hermite abscissas

Abstract

Abstract: Convergence results are proved for Hermite–Fejér interpolation at the zeros of polynomials orthogonal with respect to generalized Laguerre and Hermite weights. These results can be applied to convergence of product integration rules.

Keywords

• hermite-fejér
• lagrange
• generalized laguerre weights
• hermite weight
• interpolatory product integration
• convergence
• l1–norm