The Power Mean Test

Travis E Kulhanek; Vadim Ponomarenko

doi:10.46787/pump.v3i0.2314

The Power Mean Test

Authors

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.

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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

License

The author(s) will retain the copyright, but by submitting the article agree to grant permission to the PUMP Journal of Undergraduate Research to publish, distribute, and archive the article. The author(s) will acknowledge prior publication in the PUMP Journal of Undergraduate Research for all future uses of the article or parts of it.