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

Mijajlović, Žarko, Branković, Danijela

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.

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