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arXiv · 1502.06488

Revisiting extensions of regularly varying functions

Meitner Cadena
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Abstract

Relationships among the classes ${\cal M}$, ${\cal M}_\infty$, and ${\cal M}_{-\infty}$ and the class of \emph{O}-regularly varying functions are shown. These results are based on two characterizations of ${\cal M}$, ${\cal M}_\infty$, and ${\cal M}_{-\infty}$ provided by Cadena and Kratz in [7] and a new one given in this note.

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Meitner Cadena. 2015-01-08. Revisiting extensions of regularly varying functions. https://arxiv.org/abs/1502.06488

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