A new test for convergence of positive series

DOI10.2298/PIM2123061AzbMath1474.40001arXiv2104.04622OpenAlexW3167104180MaRDI QIDQ4985695

Vyacheslav M. Abramov, Meitner Cadena, Edward Omey

Publication date: 24 April 2021

Published in: Publications de l'Institut Math?matique (Belgrade) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.04622

zbMATH Keywords

rate of convergenceregular variationpartial orderKaramata's theorempositive seriesconvergence/divergence test

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Rate of growth of functions, orders of infinity, slowly varying functions (26A12)

Related Items (1)

Necessary and sufficient conditions for the convergence of positive series

Cites Work

• Kummer test and regular variation
• Characterization of a general class of tail probability distributions
• On the order of functions at infinity
• A unified theory of regularly varying sequences
• A New (?) Test for Convergence of Series
• The Case for Raabe’s Test
• Extension of the Bertrand–De Morgan Test and Its Application
• Refined discrete regular variation and its applications
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