高校应用数学学报B辑
高校應用數學學報B輯
고교응용수학학보B집
APPLIED MATHEMATICS A JOURNAL OF CHINESE UNIVERSITIES
2005年
2期
235-242
,共8页
non-symmetry Cantor set%Hausdorff centred measure%iterated function system
Let 0＜λ1,λ2＜1 and 1-λ1-λ2≥max{λ1,λ2}.Let K(λ1,λ2) be the attractor of the iterated function system {φ1,φ2}on the line,where φ1(x)=λ1x and φ2(x)=1-λ2+λ2x,x∈R.K(λ1,λ2) is called a non-symmetry Cantor set. In this paper,it is proved that the exact Hausdorff centred measure of K(λ1,λ2) equals 2s(1-λ)s,where λ=max{λ1,λ2} and s is the Hausdorff dimension of K(λ1,λ2).
