Generalization of Jamet's test for convergence of number series and its new modifications

2025/02/10 by Artem M. Ponomarenko, Ponomarenko, Artem M.
Mathematics · #FOS: Mathematics #General Mathematics (math.GM) #Iterative Methods for Nonlinear Equations #Mathematical Approximation and Integration #Mathematical functions and polynomials

paper · pdf · doi:10.48550/arxiv.2502.15753

openalex publication_date 2025/02/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article, we present new generalizations of logarithmic convergence tests for number series, from which we will derive various new generalizations of the Jamet's convergence test. Further, similarly, on the basis of the generalizations of the Schlomilch's test we found, we will obtain modified tests of the convergence of number series.

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