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.
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