论文标题
对二项式分布的泊松近似：向正算子的收敛扩展
Poisson approximation to the binomial distribution: extensions to the convergence of positive operators
论文作者
论文摘要
在[J. De la Cal，F。Luquin，J。理论，68（3），1992，322-329]和随后的论文，以建立正线性算子的合适序列的收敛性。这些论文中的证明是使用概率方法给出的。我们使用类似的方法，但用分析术语使用。通过这种方式，我们恢复了一些已知结果并建立了几个新结果。特别是，我们扩大了极限运算符的列表，并给出了它们的特征。
The idea behind Poisson approximation to the binomial distribution was used in [J. de la Cal, F. Luquin, J. Approx. Theory, 68(3), 1992, 322-329] and subsequent papers in order to establish the convergence of suitable sequences of positive linear operators. The proofs in these papers are given using probabilistic methods. We use similar methods, but in analytic terms. In this way we recover some known results and establish several new ones. In particular, we enlarge the list of the limit operators and give characterizations of them.
