Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (4): 471-478.

• Articles • Previous Articles     Next Articles

ON THE CONTINUITY AND DIFFERENTIABILITY OF A KIND OF FRACTAL INTERPOLATION FUNCTION

LI Hong-da1, YE Zheng-lin2, GAO Hang-shan3   

  1. 1. State Key Laboratory of Information, Security Graduate School, Chinese Academy of Sciences, Beijing 100039, P.R.China;
    2. Department of Mathematics and Information, Northwestern Polytechnical University, Xi’an 710072, P.R.China;
    3. Department of Engineering Mechanics, Northwestern Polytechnical University, Xi’an 710072, P.R.China
  • Received:2000-08-30 Revised:2001-12-21 Online:2002-04-18 Published:2002-04-18
  • Supported by:

    the National Natural Science Foundation of China (10071060)

Abstract: The sufficient conditions of H*ilder continuity of two kinds of fractal interpolation functions defined by IFS (Iterated Function System) were obtained. The sufficient and necessary condition for its differentiability was proved. Its derivative was a fractal interpolation function generated by the associated IFS, if it is differentiable.

2010 MSC Number: 

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