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On the Uniform Convergence of Kergin Interpolation on the Disk

✍ Scribed by Xue-Zhang Liang; Ming-Cai Liu


Book ID
110308782
Publisher
Springer
Year
2001
Tongue
English
Weight
139 KB
Volume
3
Category
Article
ISSN
1572-9206

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πŸ“œ SIMILAR VOLUMES


On the integral convergence of Kergin in
✍ Xue-Zhang Liang; Chun-Mei LΓΌ πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 619 KB

In this paper, we discuss the integral convergences of Kergin interpolation and its derivatives for the smooth functions defined on the unit disk. We also propose a new kind of cubature scheme and give the algebraic exactness of this cubature scheme.

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