Abstract
According to the bounded variation theory and the bounded distortion property of cookie-cutter-like (CCL) sets, the approximate self-similarity of cookie-cutter-like sets satisfying certain conditions is studied. Based on the mean value theorem, it is proved that a class of special cookie-cutter-like sets is approximately self-similar. The results obtained in this paper extend the corresponding results that have already existed.
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Foundation item: Supported by the National Natural Science Foundation of China (50872100)
Biography: JIANG Dengying(1976–), female, Lecturer, research direction: applied mathematics.
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Jiang, D. Approximate self-similarity of a class of cookie-cutter-like sets. Wuhan Univ. J. Nat. Sci. 14, 201–204 (2009). https://doi.org/10.1007/s11859-009-0303-9
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DOI: https://doi.org/10.1007/s11859-009-0303-9