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On an Arithmetic Inequality

József Sándor
József Sándor
   | Dec 10, 2014
Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică's Cover Image
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Published Online: Dec 10, 2014
Page range: 257 - 261
Received: Sep 20, 2013
Accepted: Nov 01, 2013
DOI: https://doi.org/10.2478/auom-2014-0021
Keywords
© 2014 József Sándor
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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

eISSN:
1844-0835
Language:
English
Publication timeframe:
Volume Open
Journal Subjects:
Mathematics, General Mathematics
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