On the integral convergence of Kergin interpolation on the disk

✍ Scribed by Xue-Zhang Liang; Chun-Mei Lü

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 619 KB
• Volume: 95
• Category: Article
• ISSN: 0377-0427
• DOI: 10.1016/s0377-0427(98)00067-3

✦ Synopsis

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.