Rapidly varying sequences and rapid convergence (Q952619)

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scientific article; zbMATH DE number 5365229
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Rapidly varying sequences and rapid convergence
scientific article; zbMATH DE number 5365229

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    Rapidly varying sequences and rapid convergence (English)
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    12 November 2008
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    Continuing their investigation of classes of sequences of positive real numbers [e.g.,\textit{D. Djurčić, Lj. D. R. Kočinac} and \textit{M. R. Žižović} J. Math. Appl. 327, No. 2, 1297--1306 (2007; Zbl 1116.26002)], the authors study the classes of rapidly varying, (almost) regularly varying and, introduced in this paper, rapidly convergent sequences. Amongst others, they show that these classes satisfy some selection principles and game theoretical properties.
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    rapid variability of index of variability \(\pm\infty\)
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    (almost) regular variability
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