论文标题
在涉及$ψ$密度和应用程序的集合中的实用值范围
On the limits of real-valued functions in sets involving $ ψ$-density, and applications
论文作者
论文摘要
我们通过P. D. Barry于1962年引入的$ψ$浓度证明了对实价函数的上和下限的新结果。这使我们能够改善对正密度集合中不承担的和未绑定的无界实价的现有结果。 $ψ$危险也可用于引入一个新的实现功能限制的新概念。本文中的结果在实际分析以及Meromormormormorphic函数理论中引起了人们的关注。
We prove new results on upper and lower limits of real-valued functions by means of $ψ$-densities introduced by P. D. Barry in 1962. This allows us to improve several existing results on the growth of non-decreasing and unbounded real-valued functions in sets of positive density. The $ψ$-densities are also used to introduce a new concept of a limit for real-valued functions. The results in this paper are of interest in real analysis as well as in the theory of meromorphic functions.
