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.

引用

页码：1811 / 1833

页数：23

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