Analytical properties of bivariate fractal interpolation functions with vertical scaling factor functions

被引：18

作者：

Ji, Jiabing ^{[1
]}

Peng, Jigen ^{[1
]}

机构：

[1] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Peoples R China

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2013年 / 90卷 / 03期

关键词：

fractal interpolation function; vertical scaling factor function; smoothness; stability; 28A80; 26A27; 65D05; MINKOWSKI DIMENSION; SURFACES; CONSTRUCTION; GRIDS;

D O I：

10.1080/00207160.2012.722624

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Based on the construction of bivariate fractal interpolation functions (FIFs), a class of FIFs with vertical scaling factor functions are presented and the analytical properties of smoothness and stability are proved.

引用

页码：539 / 553

页数：15

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