标题： 关于种群遗传学中基于Moran模型的一个正线性算子的若干性质 显示英文标题

标题： On some properties of a positive linear operator via the Moran model in population genetics

摘要： 我们通过群体遗传学中研究的Moran模型，在单位区间上所有连续函数的Banach空间上引入了一个正线性算子。我们证明了这个被称为Moran算子的算子在单位区间上一致逼近每一个连续函数。此外，还得到了关于Moran算子迭代的一些极限定理。 显示英文摘要

摘要： We introduce a positive linear operator acting on the Banach space of all continuous functions on the unit interval via the Moran model studied in population genetics. We show that this operator, named the Moran operator, uniformly approximates every continuous function on the unit interval. Furthermore, some limit theorems for the iterates of the Moran operator are obtained.