Some open problems concerning the convergence of positive series

2012/01/24 by Constantin P. Niculescu, Niculescu, Constantin P., Gabriel T. Prǎjiturǎ +1
Mathematics · #Approximation Theory and Sequence Spaces #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Equations Stability Results #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.1201.5156

openalex publication_date 2012/01/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We discuss some old results due to Abel and Olivier concerning the convergence of positive series and prove a set of necessary conditions involving convergence in density.

Citations

• Statistical Convergence and Convergence in Statistics
• On Some Sequences of Integers

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