Chinese Quarterly Journal of Mathematics ›› 2006, Vol. 21 ›› Issue (2): 293-296.
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Abstract: The paper succeeds in the obtaining a class of generalized non-uniform Cantor set based on the iteration (1):Si(x)=aix+bi,x∈[0,1], i=1, 2,…,m, where 0<ai< 1, i=1, 2,…, m; bi+ai>0, i=1, 2,…, m-1, b1=0 and am+bm=1. Providing the sufficient and necessary conditions of its existence Hausdorff measure.
Key words:  , self-similar set, Cantor set, Hausdorff dimension, Hausdorff measure 
CLC Number:
 
O174.12
ZENG Chao-yi . The Proof of the Sufficient and Necessary Conditions which Make the Hausdorff Measure of the Generalized Non-uniform Cantor Set'exist[J]. Chinese Quarterly Journal of Mathematics, 2006, 21(2): 293-296.
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