The Power Mean Test

Travis E Kulhanek; Vadim Ponomarenko

doi:10.46787/pump.v3i0.2314

The Power Mean Test

Travis E Kulhanek University of California, Los Angeles
Vadim Ponomarenko San Diego State University https://orcid.org/0000-0002-1174-3366

DOI: https://doi.org/10.46787/pump.v3i0.2314

Keywords: convergence, divergence, series, power mean

Abstract

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.

Published

2020-06-12

How to Cite

Kulhanek, T. E., & Ponomarenko, V. (2020). The Power Mean Test. The PUMP Journal of Undergraduate Research, 3, 68-71. https://doi.org/10.46787/pump.v3i0.2314

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Issue

Vol. 3 (2020): PUMP Journal of Undergraduate Research

Section

Articles

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