ArticlesNo Access

INTEGRATION AND FOURIER TRANSFORM OF FRACTAL INTERPOLATION FUNCTIONS

ZHIGANG FENG

Faculty of Science, Jiangsu University, 301, Xuefu Road, Zhenjiang, Jiangsu 212013, P. R. China

Search for more papers by this author

LIXIN TIAN

Faculty of Science, Jiangsu University, 301, Xuefu Road, Zhenjiang, Jiangsu 212013, P. R. China

Search for more papers by this author

, and

JIANLI JIAO

Faculty of Science, Jiangsu University, 301, Xuefu Road, Zhenjiang, Jiangsu 212013, P. R. China

Search for more papers by this author

https://doi.org/10.1142/S0218348X05002726Cited by:3 (Source: Crossref)

Abstract

Fractal interpolation function (FIF) is continuous on its interval of definition. As a special kind of continuous function, FIFs' integrations on various scales and Fourier transform are studied in this paper. All of them can be expressed by the parameters of the corresponding iterative function systems.

Keywords:

References

M. F. Barnsley, Constr. Approx. 2, 303 (1986). Crossref, Web of Science, Google Scholar
M. F. Barnsley , Fractals Everywhere ( Academic Press , Boston, New York , 1988 ) . Google Scholar
H. Xie and H. Sun, Fractals 5(4), 625 (1997). Link, Web of Science, Google Scholar
H. Xieet al., Int. J. Solids Struct. 38, 5765 (2001). Crossref, Web of Science, Google Scholar
L. Dalla, Fractals 10(1), 53 (2002). Link, Web of Science, Google Scholar
Z. Feng and H. Xie, Fractals 6(3), 269 (1998). Link, Web of Science, Google Scholar
Z. Feng, J. Jiangsu Univ. 23(5), 1 (2002). Web of Science, Google Scholar
G. C. Donovanet al., SIMA J. Math. Anal. 27, 1158 (1996). Crossref, Web of Science, Google Scholar
Z. Feng and G. Chen, J. Comput. Anal. Appl. 3(4), 317 (2001). Web of Science, Google Scholar