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An Estimation of the Upper Bound on the Hausdorff Measure of the Sierpinski Gasket

Aiping Zhang

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Abstract

Using the part estimation principle for the self-similar sets,we study the upper bound on the Hausdorff measure of the Sierpinski gasket which is 0.8356151。That is the best result until now.

About this research paper

What this paper is about

Using the part estimation principle for the self-similar sets,we study the upper bound on the Hausdorff measure of the Sierpinski gasket which is 0.8356151。That is the best result until now.

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Available abstract

Using the part estimation principle for the self-similar sets,we study the upper bound on the Hausdorff measure of the Sierpinski gasket which is 0.8356151。That is the best result until now.

Key concepts: Sierpinski triangle, Hausdorff measure, Measure (data warehouse), Gasket, Upper and lower bounds, Mathematics, Computer science, Combinatorics

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