无穷自相似测度关于几何均值误差的量子化维数  

The quantization dimension of infinite self-similar measure about geometric mean error

作　　者：王春敏 

机构地区：[1]镇江高等职业技术学校,江苏镇江212016

出　　处：《南昌教育学院学报》2013年第8期77-78,80,共3页Journal of Nanchang College of Education

摘　　要：文章主要从主要结论的叙述、无穷自相似测度的定义、主要定理的证明三方面证明了强分离条件下无穷自相似测度关于几何均值误差的量子化维数与其Hausdorff维数之间的相等关系,以期为相关研究提供借鉴。This paper mainly describes the main conclusions,the definition of infinite self-similar measure,the certify of theorem to prove quantization dimension of infinite self-similar measure about geometric mean error in the strong separation condition and equal relationship of Hausdorff dimension,so as to provide reference for the related research.

关 键 词：自相似测度 量子化维数 强分离条件 

分 类 号：G65[文化科学—教育学]