East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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NON-DIFFERENTIABLE POINTS OF A SELF-SIMILAR CANTOR FUNCTION

  • Baek, In-Soo (Department of Mathematics Pusan University of Foreign Studies) ;
  • Kim, Young-Ha (Department of Mathematics Pusan University of Foreign Studies)
  • Published : 2003.12.31
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Abstract

We study the properties of non-diffenrentiable points of a self-similar Cantor function from which we conjecture a generalization of Darst's result that the Hausdorff dimension of the non-diffenrentiable points of the Cantor function is $(\frac{ln\;2}{ln\;3})^2$.

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