𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Lagrange interpolation on extended generalized Jacobi nodes

✍ Scribed by Jürgen Prestin

Publisher
Springer US
Year
1993
Tongue
English
Weight
421 KB
Volume
5
Category
Article
ISSN
1017-1398

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Uniform Convergence of Lagrange Interpol
Uniform Convergence of Lagrange Interpolation Based on the Jacobi Nodes
✍ George Kvernadze 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 485 KB

Necessary and sufficient conditions are obtained for a continuous function guaranteeing the uniform convergence on the whole interval [ &1, 1] of its Lagrange interpolant based on the Jacobi nodes. The conditions are in terms of 4-variation, 8-variation, the modulus of variation, and the Banach indi

On Generalized Hermite–Fejér Interpolati
On Generalized Hermite–Fejér Interpolation of Lagrange Type on the Chebyshev Nodes
✍ Graeme J. Byrne; T.M. Mills; Simon J. Smith 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 131 KB

For f # C [&1, 1], let H m, n ( f, x) denote the (0, 1, ..., m) Hermite Feje r (HF) interpolation polynomial of f based on the Chebyshev nodes. That is, H m, n ( f, x) is the polynomial of least degree which interpolates f (x) and has its first m derivatives vanish at each of the zeros of the nth Ch

Mean Convergence of Derivatives of Exten
Mean Convergence of Derivatives of Extended Lagrange Interpolation with Additional Nodes
✍ Giuliana Criscuolo; Guiseppe Mastroianni; Paul Nevai 📂 Article 📅 1993 🏛 John Wiley and Sons 🌐 English ⚖ 791 KB

## Abstract Weighted __L^p^__ convergence of derivatives of extended Lagrange interpolation at the union of zeros of generalized Jacobi polynomials and some additional points is investigated.