\(\mathcal O\)-regularly varying functions and strong asymptotic equivalence

DOI10.1006/JMAA.1997.5807zbMath0920.26004OpenAlexW2002620278MaRDI QIDQ1270842

Dragan Djurčić

Publication date: 4 February 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5807

zbMATH Keywords

regularly varying functionsO-regularly varying functionspositive measurable functions

Mathematics Subject Classification ID

Rate of growth of functions, orders of infinity, slowly varying functions (26A12)

Related Items (14)

Asymptotic properties of absolutely continuous functions and strong laws of large numbers for renewal processes ⋮ Statistical convergence, selection principles and asymptotic analysis ⋮ On variations via statistical convergence ⋮ Unnamed Item ⋮ Rapidly varying sequences and rapid convergence ⋮ Relations between sequences and selection properties ⋮ Classes of sequences of real numbers, games and selection properties ⋮ Strong asymptotic equivalence and inversion of functions in the class \(K_c\) ⋮ A few remarks on divergent sequences: rates of divergence. II. ⋮ Summability of sequences and selection properties ⋮ On the Seneta sequences ⋮ Transience and Recurrence of Markov Processes with Constrained Local Time ⋮ A theorem of Galambos-Bojanić-Seneta type ⋮ On preserving the limit points of corresponding objects

Cites Work

• Slowly varying functions and asymptotic relations
• On some classes of functions with regard to their orders of growth
• On a generalization of regularly increasing functions
• Regularly increasing functions in connection with the theory of $L^{*φ}$-spaces
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