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THE HAUSDORFF CENTRED MEASURE OF THE SYMMETRY CANTOR SETS 被引量:8

THE HAUSDORFF CENTRED MEASURE OF THE SYMMETRY CANTOR SETS
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摘要 Let 0<A≤1/3 ,K(λ) be the attractor of an iterated function system {ψ1,ψ2} on the line, where 1(x)= AT, ψ1(x) = 1-λ+λx, x∈[0,1]. We call K(λ) the symmetry Cantor sets. In this paper, we obtained the exact Hausdorff Centred measure of K(λ). Let 0<A≤1/3 ,K(λ) be the attractor of an iterated function system {ψ1,ψ2} on the line, where 1(x)= AT, ψ1(x) = 1-λ+λx, x∈[0,1]. We call K(λ) the symmetry Cantor sets. In this paper, we obtained the exact Hausdorff Centred measure of K(λ).
出处 《Approximation Theory and Its Applications》 2002年第2期49-57,共9页 逼近论及其应用(英文版)
基金 This work is supported partially by the foundation of the National Education Ministry, National
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参考文献1

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同被引文献12

  • 1PENGLi,WUMin.Hausdorff centered measure of certain linear Cantor sets[J].Progress in Natural Science:Materials International,2005,15(4):297-303. 被引量:4
  • 2戴美凤,阮火军,苏维宜.均匀三部分康托集的Hausdorff中心测度[J].数学学报(中文版),2006,49(1):11-18. 被引量:1
  • 3Jia, B. G.,Zhou, Z. L,Zhu, Z. W.,Luo, J.The Packing Measure of the Cartesian Product of the Middle Third Cantor Set with Itself[].Journal of Mathematical Analysis and Applications.2003
  • 4Feng,D. J.Exact Packing Measure of Linear Cantor Sets[].Mathematische Nachrichten.2000
  • 5Edgar,G.Integral, Probablity and Fractal Measures[]..1998
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  • 7Falconer K. J.Techniques in Fractal Geometry[]..1997
  • 8McCoy,T.Upper and Lower Densities of Cantor Sets Using Blanketed Hausdorff Functions[]..2002
  • 9Raymond, X. S.,Tricot, C.Packing Regularity of Sets in n-Space[].Mathematical Proceedings of the Cambridge Philosophical Society.1988
  • 10Schechter,A.On the Centred Hausdorff Measure[].J of London Math Soc.2000

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