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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Simultaneous extensions of Turkevich’s inequality and the weighted AM-GM inequality
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by Géza Kós, Hojoo Lee and Peter Vandendriessche PDF
Proc. Amer. Math. Soc. 140 (2012), 971-975 Request permission

Abstract:

We establish a sharp homogeneous inequality which extends both the classical weighted AM-GM inequality and the Turkevich inequality.
References
  • V. Senderov and E. Turkevich, Problem M506, Kvant, 10(3) (1979), 35.
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Additional Information
  • Géza Kós
  • Affiliation: Department of Analysis, Loránd Eötvös University, Budapest, Hungary – and – Computer and Automation Research Institute (SZTAKI), Budapest, Hungary
  • Email: kosgeza@sztaki.hu
  • Hojoo Lee
  • Affiliation: Department of Mathematical Sciences, Seoul National University, Seoul, Republic of Korea
  • MR Author ID: 692348
  • Email: ultrametric@gmail.com
  • Peter Vandendriessche
  • Affiliation: Department of Mathematics, Ghent University, B 9000 Gent, Belgium
  • Email: Peter.Vandendriessche@UGent.be
  • Received by editor(s): September 26, 2010
  • Received by editor(s) in revised form: November 17, 2010, and December 18, 2010
  • Published electronically: July 22, 2011
  • Additional Notes: The second author is supported in part by NRF 2010-0014315.
    The third author is supported by a PhD fellowship of the Research Foundation - Flanders (FWO)
  • Communicated by: Walter Van Assche
  • © Copyright 2011 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 140 (2012), 971-975
  • MSC (2010): Primary 26D15; Secondary 41A44
  • DOI: https://doi.org/10.1090/S0002-9939-2011-10986-9
  • MathSciNet review: 2869081