2006Analysis in Theory and ApplicationsRequires access

Bounds of the Hausdorff Measure of Sierpinski carpet

Baoguo Jia

Open publisher page 3 citations

Abstract

By means of the idea of [2] (Jia Baoguo, J.Math.Anal.Appl.In press) and the self-similarity of Sierpinski carpet, we obtain the lower and upper bounds of the Hausdorff Measure of Sierpinski carpet, which can approach the Hausdorff Measure of Sierpinski carpet infinitely.

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What this paper is about

By means of the idea of [2] (Jia Baoguo, J.Math.Anal.Appl.In press) and the self-similarity of Sierpinski carpet, we obtain the lower and upper bounds of the Hausdorff Measure of Sierpinski carpet, which can approach the Hausdorff Measure of Sierpinski carpet infinitely.

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OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

By means of the idea of [2] (Jia Baoguo, J.Math.Anal.Appl.In press) and the self-similarity of Sierpinski carpet, we obtain the lower and upper bounds of the Hausdorff Measure of Sierpinski carpet, which can approach the Hausdorff Measure of Sierpinski carpet infinitely.

Key concepts: Sierpinski carpet, Hausdorff measure, Mathematics, Sierpinski triangle, Measure (data warehouse), Hausdorff space, Similarity (geometry), Outer measure

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