A simple proof of Tong's theorem

Abstract

We provide a new simple and transparent proof of the version of Kummer's test given in [Tong, J. (1994). Amer. Math. Monthly. 101(5): 450--452]. Our proof is based on an application of a Hardy--Littlewood Tauberian theorem.

3 pages, Some minor corrections are made. The paper will not be submitted

References in corpus (2)

• On Kummer's test of convergence and its relation to basic comparison tests
• A Short and Unified Proof of Kummer's Test