Upper Bound and Lower Bound Estimate of Monotone Increasing Fractal Function

Upper Bound and Lower Bound Estimate of Monotone Increasing Fractal Function

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摘要 Mass distribution principle is one of important tools in studying Hausdorff dimension and Hausdorff measure. In this paper we will give a numerical approximate method of upper bound and lower bound of mass distribution function f（x）（it is a monotone increasing fractal function） and its some applications.

作者 MA Guan-zhong YUAN Gui-xia CUI Zhen-wen

机构地区 College of Mathematics and Information Science

出处《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2008年第2期188-194,共7页 数学季刊（英文版）

基金 Foundation item： Supported by the Youth Science Foundation of Henan Normal University（521103）

关键词 FRACTAL mass distribution function iterated function system piecewise anti- Bezier curve 单调递增分形函数上界下界估计

分类号 O174.12 [理学—基础数学]

作者简介 Biography： MA Guan-zhong（1975-）, male, native of Xiangcheng, Henan, a lecturer of Henan Normal University, M.S.D., engages in fractal theory with application and approximation theory with applications.

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参考文献5

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Chinese Quarterly Journal of Mathematics

2008年第2期

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Upper Bound and Lower Bound Estimate of Monotone Increasing Fractal Function

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