论文标题
Karamata均匀收敛定理的一种非标准方法
A nonstandard approach to Karamata uniform convergence theorem
论文作者
论文摘要
提出了逐渐变化的函数的Karamata均匀收敛定理的概括的非标准证明。讨论了相关运算符$ \ MATHCAL {L} $的属性及其与缓慢变化的功能的连接。
A nonstandard proof of a generalization of Karamata uniform convergence theorem for slowly varying functions is presented. Properties of a related operator $\mathcal{L}$ and its connection with slowly varying functions are discussed.