Short note on convexity of power mean
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Abstract
In this paper, we give an answer to the conjecture posed in the paper [Antal Bege, J\'{o}zsef Bukor, J\'{a}nos T. T\'{o}th, On (log-) convexity of power mean, Annales Mathematicae et Informaticae 42 (2013) pp. 3-7, http://ami.ektf.hu].
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Matejíčka, L. (2015). Short note on convexity of power mean. Tamkang Journal of Mathematics, 46(4), 423–426. https://doi.org/10.5556/j.tkjm.46.2015.1808
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References
Jozsef Bukor, Janos T. Toth, On $($log-$)$ convexity of power mean, Annales Mathematicae et Informaticae, 42(2013), 3--7, Available online at http://ami.ektf.hu.
T. J. Mildorf, A sharp bound on the two variable power mean, Mathematicals Reflections, 2(2006), 5 pages, Available online at http://awesomemath.org./wp-content/uploads/reflections/2006-2/2006-2 sharpbound.pdf.
I. Pinelis, LHospital type results for monotonicity, with applications, Journal of Inequalities in Pure and Applied Mathematics, 3(2002), 1--5.