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Trudy Petrozavodskogo Gosudarstvennogo Universiteta. Seriya Matematika, 2011, Issue 18, Pages 61–69
(Mi pa18)
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О хаусдорфовой мере однородного треугольного (c,θ)-ковра Серпинского
N. Yu. Svetova Petrozavodsk State University, Faculty of Mathematics
Abstract:
The generalized homogeneous Sierpinski (c,θ)-gasket is considered. It has received that the s-dimensional Hausdorff measure of (c,θ)-gasket for c∈(0;1/3] is equal Hs(Dc,θ)=(2sinθ2)s, for θ∈[π3,π) and (2sinθ√5−4cosθ)s⩽Hs(Dc−θ)⩽1 for θ∈(0,π3). As a consequence the s-dimensional Hausdorff measure for a generalized homogeneous Pascal triangle is received, it is equal 2s/2.
Citation:
N. Yu. Svetova, “О хаусдорфовой мере однородного треугольного (c,θ)-ковра Серпинского”, Tr. Petrozavodsk. Gos. Univ. Ser. Mat., 2011, no. 18, 61–69
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https://www.mathnet.ru/eng/pa18 https://www.mathnet.ru/eng/pa/y2011/i18/p61
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Abstract page: | 127 | Full-text PDF : | 58 | References: | 32 |
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