K-Dimension of the Graphs of a C lass ofBush Functions

WANGHong-yong; XU Shao-yuan

Volume 18 Issue 6

Dec. 2005

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Journal of Southwest Jiaotong University > 2005 > 18(6): 825-828.

WANGHong-yong, XU Shao-yuan. K-Dimension of the Graphs of a C lass ofBush Functions[J]. Journal of Southwest Jiaotong University, 2005, 18(6): 825-828.

Citation:

WANGHong-yong, XU Shao-yuan. K-Dimension of the Graphs of a C lass ofBush Functions[J]. Journal of Southwest Jiaotong University, 2005, 18(6): 825-828.

WANGHong-yong, XU Shao-yuan. K-Dimension of the Graphs of a C lass ofBush Functions[J]. Journal of Southwest Jiaotong University, 2005, 18(6): 825-828.

Citation:

WANGHong-yong, XU Shao-yuan. K-Dimension of the Graphs of a C lass ofBush Functions[J]. Journal of Southwest Jiaotong University, 2005, 18(6): 825-828.

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K-Dimension of the Graphs of a C lass ofBush Functions

Publish Date: 25 Dec 2005

Abstract

Abstract

TheK-dimension of the graphs of a class of Bush functions was studied. These fractal functions are defined by using the expression of the Cantor series of real numbers. The expressions of the upper and lowerboundaries for theK-dimension ofsuch graphswere obtained. It is shown that the K-dimension of the graphs of such functions is equal to their box dimension and packing dimension when the functions are defined by theb-adic expression of realnumbers.
- Bush type function,
- fractal function,
- K-dimension,
- fractal dimension