𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On Mean Convergence of Lagrange Interpolation for General Arrays

✍ Scribed by D.S. Lubinsky


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
91 KB
Volume
104
Category
Article
ISSN
0021-9045

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Uniform Convergence of Lagrange Interpol
✍ George Kvernadze πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 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

Mean Convergence of Generalized Jacobi S
✍ Y. Xu πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 410 KB

Weighted mean convergence of generalized Jacobi series is investigated, and the results are used to prove weighted mean convergence of various interpolating polynomials based on the zeros of generalized Jacobi polynomials. C 1993 Academic Press. Inc.

Mean Convergence of Generalized Jacobi S
✍ Y. Xu πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 489 KB

Weighted mean convergence of interpolating polynomials based on the zeros of generalized Jacobi polynomials is investigated. The approach is based on generalized Jacobi series and Marcinkiewicz-Zygmund type inequality. 1994 Academic Press. Inc.

On Generalized Hermite–FejΓ©r Interpolati
✍ Graeme J. Byrne; T.M. Mills; Simon J. Smith πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 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