A TYPE OF FRACTAL INTERPOLATION FUNCTIONS AND THEIR FRACTIONAL CALCULUS

被引：31

作者：

Liang, Yong-Shun ^{[1
]}

Zhang, Qi ^{[2
]}

机构：

[1] Nanjing Univ Sci & Technol, Inst Sci, Nanjing 210094, Jiangsu, Peoples R China

[2] Nanjing Univ Aeronaut & Astronaut, Fac Sci, Nanjing 210094, Jiangsu, Peoples R China

来源：

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2016年 / 24卷 / 02期

关键词：

Approximation; Chebyshev Polynomials; Fractal Interpolation Function; Modulus of Continuity; Riemann-Liouville Fractional Calculus; CONSTRUCTION; SETS;

D O I：

10.1142/S0218348X16500262

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Combine Chebyshev systems with fractal interpolation, certain continuous functions have been approximated by fractal interpolation functions unanimously. Local structure of these fractal interpolation functions (FIF) has been discussed. The relationship between order of Riemann-Liouville fractional calculus and Box dimension of FIF has been investigated.

引用

页数：9

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