BOX DIMENSIONS OF α-FRACTAL FUNCTIONS

作     者：Akhtar, Md. Nasim Prasad, M. Guru Prem Navascues, M. A. 

作者机构：Indian Inst Technol Guwahati Dept Math Gauhati 781039 Assam India Univ Zaragoza Dept Mate Aplicada E-50009 Zaragoza Spain 

出 版 物：《FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY》 (分数；自然复几何多学科杂志)

年 卷 期：2016年第24卷第3期

页      面：1650037-1650037页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Fractal Interpolation Functions alpha-Fractal Interpolation Functions Variation of Continuous Functions Box-Counting Dimensions 

摘      要：The box dimension of the graph of non-affine, continuous, nowhere differentiable function fa which is a fractal analogue of a continuous function f corresponding to a certain iterated function system (IFS), is investigated in the present paper. The estimates for box dimension of the graph of alpha-fractal function f(alpha) for equally spaced as well as arbitrary data sets are found.