论文标题
与rényi-type持续扩展相关的两个渐近分布
Two asymptotic distributions related to Rényi-type continued fraction expansions
论文作者
论文摘要
We attempt to investigate a two-dimensional Gauss-Kuzmin theorem for Rényi-type continued fraction expansions.更确切地说，我们的重点是为误差项获得特定的下限和上限，这意味着涉及的分布函数的收敛速率涉及其极限。为了实现我们的目标，我们利用了Rényi-Type地图的Perron-Frobenius操作员的重要特性，其在其不变的度量下，在有限变化的Banach功能空间上。 Finally, we give some numerical calculations to conclude the paper.
We attempt to investigate a two-dimensional Gauss-Kuzmin theorem for Rényi-type continued fraction expansions. More precisely speaking, our focus is to obtain specific lower and upper bounds for the error term considered which imply the convergence rate of the distribution function involved to its limit. To achieve our goal, we exploit the significant properties of the Perron-Frobenius operator of the Rényi-type map under its invariant measure on the Banach space of functions of bounded variation. Finally, we give some numerical calculations to conclude the paper.
