On an Arithmetic Inequality

József Sándor

doi:10.2478/auom-2014-0021

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On an Arithmetic Inequality

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 22 (2014): Issue 1 (March 2014)

By: József Sándor

Open Access

|Dec 2014

Abstract

We obtain an arithmetic proof and a refinement of the inequality ϕ (n^k) + σ_k(n) < 2n^k, where n ≧ 2 and k ≧ 2. An application to another inequality is also provided.

References

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[3] J. Sándor, An application of the Jensen-Hadamard inequality, Nieuw Arch. Wiskunde (4) 8(1990), 63-66
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Articles in this issue

DOI: https://doi.org/10.2478/auom-2014-0021 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 257 - 261

Submitted on: Sep 20, 2013

Accepted on: Nov 1, 2013

Published on: Dec 10, 2014

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

Dedekind arithmetical function,

inequalities

Related subjects:

Mathematics,

General mathematics

© 2014 József Sándor, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 22 (2014): Issue 1 (March 2014)