Mean convergence of Hermite-Fejér and Hermite interpolation for Freud weights

✍ Scribed by H.S. Jung; K.H. Kwon

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 681 KB
• Volume: 99
• Category: Article
• ISSN: 0377-0427
• DOI: 10.1016/s0377-0427(98)00159-9

✦ Synopsis

We find sufficient conditions for weighted Lp (0< p<w) convergence of Hermite-Fej~r and Hermite interpolation polynomials based on the zeros of the orthogonal polynomials for the weight function WZ(x), where W := e ~ is a Freud weight. (~) 1998 Elsevier Science B.V. All rights reserved.