|
|||||
|
|
Asymptotic expansion formula for Bernstein polynomials defined on a simplex |
|
| Authors: | Yu Yu Feng Jernej Kozak |
| Institution: | 1. Department of Mathematics, University of Science and Technology of China, 230026, Anhui, Hefei, People's Republic of China 2. Department of Mathematics, University of Ljubljana, 61000, Ljubljana, Yugoslavia |
| Abstract: | In this paper we give a complete expansion formula for Bernstein polynomials defined on ans-dimensional simplex. This expansion for a smooth functionf represents the Bernstein polynomialB n (f) as a combination of derivatives off plus an error term of orderO(n–s ).Communicated by Wolfgang Dahmen. |
| Keywords: | AMS classification" target="_blank">AMS classification 41A10 41A60 41A63 |
| 本文献已被 SpringerLink 等数据库收录！ | |