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.
β¦ LIBER β¦
On the Uniform Convergence of Kergin Interpolation on the Disk
β 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
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
On the integral convergence of Kergin in
β
Xue-Zhang Liang; Chun-Mei LΓΌ
π
Article
π
1998
π
Elsevier Science
π
English
β 619 KB
On Kergin interpolation in the disk
β
Len Bos
π
Article
π
1983
π
Elsevier Science
π
English
β 350 KB
On the convergence of Kergin and Hakopia
β
Phung, Van Manh
π
Article
π
2012
π
Akadmiai Kiad
π
English
β 625 KB
Weighted mean convergence of Hakopian in
β
Xuezhang Liang; Renzhong Feng; Xuenan Sun
π
Article
π
2007
π
Springer
π
English
β 158 KB
On the uniform convergence of the Chebys
β
Marina Chugunova; Dmitry Pelinovsky
π
Article
π
2009
π
Elsevier Science
π
English
β 610 KB
Uniform Convergence of Lagrange Interpol
β
George Kvernadze
π
Article
π
1996
π
Elsevier Science
π
English
β 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