区间上Gauss型和Renyi型映射的逼近系数的双序列
The bisequence of approximation coefficients for Gauss-like and Renyi-like maps on the interval
摘要：
我们将建立几个算术和几何性质的双序列的逼近系数（BAC）与两个单参数家庭的分段连续的莫比乌斯变换介绍了哈斯和莫尔纳。Gauss映射和Renyi映射作为特例实现，它们导致区间上无理数的正则和向后连分数展开。这些结果是丢番图逼近定理的自然推广。
英文摘要：
We will establish several arithmetic and geometric properties regarding the bi-sequences of approximation coefficients (BAC) associated with the two one-parameter families of piecewise-continuous Mobius transformations introduced by Haas and Molnar. The Gauss and Renyi maps, which lead to the expansions of irrational numbers on the interval as regular and backwards continued fractions, are realized as special cases. The results are natural generalizations of theorems from Diophantine approximation.
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