A nonstandard approach to Karamata uniform convergence theorem

Žarko Mijajlović; Danijela Branković

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arXiv · 2211.12854

A nonstandard approach to Karamata uniform convergence theorem

Žarko Mijajlović·Danijela Branković

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Abstract

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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Žarko Mijajlović, Danijela Branković. 2022-10-17. A nonstandard approach to Karamata uniform convergence theorem. https://arxiv.org/abs/2211.12854

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