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Norms of Hermite interpolation operators

✍ Scribed by S. Ogawa; S. Kida; K. Kitahara; Y. Igano

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
229 KB
Volume
9
Category
Article
ISSN
0893-9659

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✦ Synopsis

There are many investigations of Lagrange interpolation operators. In this paper, we study norms of Hermite interpolation operators on some function spaces.

πŸ“œ SIMILAR VOLUMES

Hermite–FejΓ©r interpolation operator and
Hermite–FejΓ©r interpolation operator and characterization of functions
✍ Tingfan Xie; Xinlong Zhou πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 155 KB

## Abstract In this paper we investigate the approximation behaviour of the so‐called Hermite–FejΓ©r interpolation operator based on the zeros of Jacobi polynomials. As a result we obtain the asymptotic formula of approximation rate for these operators. Moreover, such a formula is valid for any indi