

Author: Dongkui M.
Publisher: Springer Publishing Company
ISSN: 1000-9221
Source: Approximation Theory and Its Applications, Vol.17, Iss.3, 2001-01, pp. : 85-89
Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.
Abstract
In this paper, regular Sierpinski carpet as a new concept is given. The exact value of Hausdorff measure of the regular Sierpinski carpet and the range of Hausdorff measures for all forms of generalized Sierpinski carpets is also obtained. For any one of the generalized Sierpinski carpets we show that there exists a regular carpet such that they have the same Hausdorff measures.
Related content


Variational formula related to the self‐affine Sierpinski carpets
MATHEMATISCHE NACHRICHTEN, Vol. 288, Iss. 5-6, 2015-04 ,pp. :


On Sierpiński carpets and doubling measures
Nonlinearity, Vol. 27, Iss. 6, 2014-06 ,pp. :



