The Hausdorff dimension of graph of a class of Weierstrass functions

Progress in Natural Science

Volumn 6, Issue 5, 1996, Pages 552-553

  Sun, Daochun ^a   Wen, Zhiying ^a,b  

^a WUHAN UNIVERSITY   (China)

^b INSTITUTE OF APPLIED MATHEMATICS   (China)

Author keywords

Fractal; Hausdorff dimension; Weierstrass function

Indexed keywords

CONDITION; HAUSDORFF DIMENSION; WEIERSTRASS FUNCTIONS;

FRACTAL DIMENSION;

EID: 20044380010     PISSN: 10020071     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (5)

1. Besicovitch, A. S., Vrsell, H. D., Sets of fractional dimension, V: on dimensional numbers of some continuous curves, Journal London Math. Soc., 1937, (12): 18.
2. Mauldin, R. D., Williams, S. C., On the Hausdorff dimension of some graphs, Trans. Amer. Math. Soc., 1986, 298(2): 793.
3. Sun, D. C., Wen, Z. Y., Dimension de Hausdorff des graphes de series trigonometriques lacunaires. C. R. Acad. Sci. Paris, Serie I, 1990, t. 310: 135.
4. Falconer, K. J., Fractal Geometry: Mathematical Foundations and Applications, New York: John Wiley & Sons, 1990.
5. Falconer, K. J., The Geometry of Fractal Sets, London: Cambridge University Press, 1985.