Rapidly varying sequences and rapid convergence

DOI10.1016/J.TOPOL.2007.05.026zbMath1154.54002OpenAlexW2001343116MaRDI QIDQ952619

Ljubiša D. R. Kočinac, Dragan Djurčić, Mališa R. Žižović

Publication date: 12 November 2008

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2007.05.026

zbMATH Keywords

(almost) regular variabilityrapid variability of index of variability \(\pm\infty\)

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Multistage and repeated games (91A20) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Rate of growth of functions, orders of infinity, slowly varying functions (26A12)

Related Items (10)

Statistical convergence, selection principles and asymptotic analysis ⋮ On a subclass of the class of rapidly varying sequences ⋮ On the class \(\mathbb S_0\) of real sequences ⋮ Unnamed Item ⋮ Classes of sequences of real numbers, games and selection properties ⋮ A few remarks on divergent sequences: rates of divergence. II. ⋮ Summability of sequences and selection properties ⋮ A theorem of Galambos-Bojanić-Seneta type ⋮ Logarithmic (translationally) rapidly varying sequences and selection principles ⋮ A few remarks on divergent sequences: rates of divergence

Cites Work

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• Unnamed Item
• Some properties of rapidly varying sequences
• Some covering properties of hyperspaces
• Classes of sequences of real numbers, games and selection properties
• \(\mathcal O\)-regularly varying functions and strong asymptotic equivalence
• Combinatorics of open covers. I: Ramsey theory
• On the Kočinac \(\alpha_i\) properties
• On the Seneta sequences
• Meager-Nowhere Dense Games (II): Coding Strategies
• On increasing rapidly varying sequences
• Regularly varying functions

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