A note on stability and fractal dimension of bivariate α-fractal functions

被引：6
|
作者：
Agrawal, V. [1 ]
Som, T. [1 ]
Verma, S. [2 ]
机构：
[1] IIT BHU, Dept Math, Varanasi 221005, India
[2] IIIT Allahabad, Dept Appl Sci, Allahabad 211015, India
来源：
NUMERICAL ALGORITHMS | 2023年 / 93卷 / 04期
关键词：
Fractal interpolation surfaces; Bivariate alpha-fractal functions; Continuous dependence; Box dimension; Oscillation spaces; INTERPOLATION FUNCTIONS; MINKOWSKI DIMENSION; CONSTRUCTION; PHYSIOLOGY; SURFACES;
D O I：
10.1007/s11075-022-01490-w
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the continuous dependence of the so-called (bivariate) alpha -fractal function on the parameters such as the scaling function alpha net delta of rectangular grid, and the base function S involved in its construction. Furthermore, we establish some results regarding its dimension.
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页码：1811 / 1833
页数：23
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