2001Journal of Zhejiang University of TechnologyRequires access

An estimate of Hausdorff measure of Sierpinski gasket

Xin-Rong Dai

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Abstract

This paper gives a formula to estimate the upper bound of the Hausdorff measure of the Sierpinski gasket. By this formula, one can get the upper bound of the Hausdorff measure of the Sierpinski gasket as well as possible, in case he finds a set well enough.

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What this paper is about

This paper gives a formula to estimate the upper bound of the Hausdorff measure of the Sierpinski gasket. By this formula, one can get the upper bound of the Hausdorff measure of the Sierpinski gasket as well as possible, in case he finds a set well enough.

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OpenAlex reports 1 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

This paper gives a formula to estimate the upper bound of the Hausdorff measure of the Sierpinski gasket. By this formula, one can get the upper bound of the Hausdorff measure of the Sierpinski gasket as well as possible, in case he finds a set well enough.

Key concepts: Sierpinski triangle, Hausdorff measure, Gasket, Measure (data warehouse), Upper and lower bounds, Mathematics, Outer measure, Hausdorff distance

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