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