FRACTIONAL INTEGRALS OF THE WEIERSTRASS FUNCTIONS： THE EXACT BOX DIMENSION

2004Acta Scientiarum Naturalium Universitatis SunyatseniPhysics and Astronomy被引 1

摘要

The present paper investigates the fractal structure of fractional integrals of Weierstrass functions.The exact box dimension for such functions many important cases is established. We need to point out that, although the result itself achieved in the present paper is interesting, the new technique and method should be emphasized. These novel ideas might be useful to establish the box dimension or Hausdorff dimension (especially for the lower bounds) for more general groups of functions.

引用本文（GB/T 7714）

ZhouSongping, YaoKui, SuWeiyi. FRACTIONAL INTEGRALS OF THE WEIERSTRASS FUNCTIONS： THE EXACT BOX DIMENSION[J]. Acta Scientiarum Naturalium Universitatis Sunyatseni, 2004.

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