The Power Mean Test

Keywords: convergence, divergence, series, power mean


We devise a new test for convergence or divergence of an infinite series — the Power Mean Test. We explore the strength of this test relative to that of the Ratio and Root Tests and provide a family of series where the Power Mean Test is the most useful of the three tests.

How to Cite
Kulhanek, T. E., & Ponomarenko, V. (2020). The Power Mean Test. The PUMP Journal of Undergraduate Research, 3, 68-71.