Fitting Errors of Fractal Interpolation for Bivariate Continuous Functions

摘要：

Based on a given bivariate continuous function, an iterated function system (IFS) is firstly constructed. It is proved that the attractor of the constructed IFS is a bivariate fractal interpolation function (FIF) which interpolates the given set of data. We use the FIF to fit the given bivariate continuous function and study the problem of fitting errors. The upper estimates of errors are given in the sense of two metrics.

关键词： iterated function system fraetal interpolation function firing error

作者: Hongyong Wang Jiabing Ji

作者单位: School of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing 210003, China Faculty of Science, Xian Jiaotong University, Xian 710049, China

会议类型: 国际会议

会议名称: 2010 International Conference on Application of Mathematics and Physics(2010国际数理科学与气象学术研讨会暨2010空间天气学研讨会 AMP2010)

会议地点: 南京

会议语种:英文

页码: 590-595

在线出版日期: 2010-05-08（万方平台首次上网日期，不代表论文的发表时间）