Box dimension of α-fractal function with variable scaling factors in subintervals

被引：34

作者：

Akhtar, Md Nasim ^{[1
]}

Prasad, M. Guru Prem ^{[1
]}

Navascures, M. A. ^{[2
]}

机构：

[1] IIT Guwahati, Dept Math, Gauhati 781039, India

[2] Univ Zaragoza, Dept Matemat Aplicada, Zaragoza, Spain

来源：

CHAOS SOLITONS & FRACTALS | 2017年 / 103卷

关键词：

Fractal interpolation functions; alpha-Fractal interpolation functions; Variable scaling factors; Box-counting dimensions; INTERPOLATION SURFACES;

D O I：

10.1016/j.chaos.2017.07.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The box dimension of the graph of non-affine alpha-fractal interpolation function f(alpha) with variable scaling factors is estimated in the interval [0, 1]. Due to the non- affinity of f(alpha), the behavior of the graph is nonuniform in the subintervals. An attempt is made to estimate the box dimension of the graph of f(alpha) in the subintervals as well and it is compared with the box dimension of f(alpha) on the whole interval. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：440 / 449

页数：10

共 50 条

[1] BOX DIMENSION OF FRACTAL INTERPOLATION SURFACES WITH VERTICAL SCALING FUNCTION
Jiang, Lai
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2024, 32 (03)
[2] Riemann-Liouville fractional derivatives of hidden variable recurrent fractal interpolation functions with function scaling factors and box dimension
Ri, Mi-Gyong
Yun, Chol-Hui
CHAOS SOLITONS & FRACTALS, 2022, 156
[3] Box-counting dimension and analytic properties of hidden variable fractal interpolation functions with function contractivity factors
Yun, CholHui
Ri, MiGyong
CHAOS SOLITONS & FRACTALS, 2020, 134
[4] CONSTRUCTION OF RECURRENT FRACTAL INTERPOLATION SURFACES WITH FUNCTION SCALING FACTORS AND ESTIMATION OF BOX-COUNTING DIMENSION ON RECTANGULAR GRIDS
Yun, Chol-Hui
Choi, Hui-Chol
Hyong-Chol, O.
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2015, 23 (04)
[5] Riemann–Liouville calculus on quadratic fractal interpolation function with variable scaling factors
A. Gowrisankar
M. Guru Prem Prasad
The Journal of Analysis, 2019, 27 : 347 - 363
[6] Construction and box dimension of the composite fractal interpolation function
Dai, Zhong
Liu, Shutang
CHAOS SOLITONS & FRACTALS, 2023, 169
[7] A REVISIT TO α-FRACTAL FUNCTION AND BOX DIMENSION OF ITS GRAPH
Verma, S.
Viswanathan, P.
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2019, 27 (06)
[8] Riemann-Liouville calculus on quadratic fractal interpolation function with variable scaling factors
Gowrisankar, A.
Prasad, M. Guru Prem
JOURNAL OF ANALYSIS, 2019, 27 (02): : 347 - 363
[9] NONLINEAR RECURRENT HIDDEN VARIABLE FRACTAL INTERPOLATION CURVES WITH FUNCTION VERTICAL SCALING FACTORS
Kim, Jinmyong
Mun, Hakmyong
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2020, 28 (06)
[10] SMOOTHNESS AND FRACTIONAL INTEGRAL OF HIDDEN VARIABLE RECURRENT FRACTAL INTERPOLATION FUNCTION WITH FUNCTION VERTICAL SCALING FACTORS
Ri, Mi-Gyong
Yun, Chol-Hui
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2021, 29 (06)

← 1 2 3 4 5 →