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CONSTRUCTION OF SOME KIESSWETTER-LIKE FUNCTIONS-THE CONTINUOUS BUT NON-DIFFERENT-IABLE FUNCTION DEFINED BY QUINARY DECIMAL 被引量:1

CONSTRUCTION OF SOME KIESSWETTER-LIKE FUNCTIONS-THE CONTINUOUS BUT NON-DIFFERENT-IABLE FUNCTION DEFINED BY QUINARY DECIMAL
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摘要 In this paper, we construct some continuous but non-differentiable functions defined by quinary dec-imal, that are Kiesswetter-like functions. We discuss their properties, then investigate the Hausdorff dimensions of graphs of these functions and give a detailed proof. In this paper, we construct some continuous but non-differentiable functions defined by quinary dec-imal, that are Kiesswetter-like functions. We discuss their properties, then investigate the Hausdorff dimensions of graphs of these functions and give a detailed proof.
机构地区 YunnanUniversity
出处 《Analysis in Theory and Applications》 2004年第1期58-68,共11页 分析理论与应用(英文刊)
关键词 Kiesswetter-like functions continuous but non-differentiable quinary decimal iterated function system inequality Hausdorff dimension Kiesswetter-like functions, continuous but non-differentiable, quinary decimal, iterated function system, inequality Hausdorff dimension
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  • 1Massopust P R. Fractal Functions, Fractal Surfacesand Wavelets [ M ]. California : Acadamic Press Inc,1994: 89 -93.
  • 2Egdar G A. Integral, Probability and Fractal Measures[M]. New York: Springer Verlarg, 1988 : 58-61.
  • 3Falconer K J. Fractal Geometry, Mathematical Founda-tions and Applications[ M]. New York: John Wiley &Sons, 1990: 46-49.
  • 4Egdar G A. Kiesswetter,s fractal has Hausdorff dimen-sion 3/2[ J]. Real Anal Exchange, 1988( 14) ; 215 -223.
  • 5Egdar G A. Classics on ?ractals[ M]. California: Addi-son Weslet Menlo Park, 1992; 96 - 101.

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