Bounds of the Hausdorff Measure of Sierpinski carpet
Baoguo Jia
Abstract
Baoguo Jia
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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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