Chinese Quarterly Journal of Mathematics ›› 2008, Vol. 23 ›› Issue (2): 188-194.

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Upper Bound and Lower Bound Estimate of Monotone Increasing Fractal Function 

  

  1. College of Mathematics and Information Science,Henan Normal University
  • Received:2005-04-28 Online:2008-06-30 Published:2023-09-27
  • About author: 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.
  • Supported by:
    Supported by the Youth Science Foundation of Henan Normal University(521103)

Abstract: 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.

Key words: fractal, mass distribution function, iterated function system, piecewise antiBezier curve

CLC Number: