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An estimation of the Hausdorff measure of the Koch curve. (Chinese. English summary) Zbl 0966.28006
The following theorem is proved in this note:
Theorem. Let \(K\) be the Koch curve. Then for its Hausdorff measure the estimation \[ H^s(K)< {4^4\over 122} \Biggl[{\sqrt{876}\over 81}\Biggr]^s \] with \(s= \log_34\) holds.
Reviewer: Su Weiyi (Nanjing)
MSC:
28A78 Hausdorff and packing measures
28A80 Fractals
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