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    STUDIA MATHEMATICA - Issue no. 4 / 2011  
         
  Article:   ON THE HAUSDORFF DIMENSION OF THE GRAPH OF A WEIERSTRASS TYPE FUNCTION.

Authors:  .
 
       
         
  Abstract:  In this note a theorem to compare the box dimension of Weierstrass type functions and their Hausdorff dimension is established. Moreover a method to determine the Hausdorff dimension of the graphs of functions such as the Weierstrass or the Mandelbrot functions is given.

Mathematics Subject Classification (2010): Primary 26A15, Secondary 26A16.

Keywords: Holder continuous functions, box dimension, Hausdorff dimension, Weierstrass-type functions.

 
         
     
         
         
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