On log-convexity for differences of mixed symmetric means

Authors: Anwar, M.¹; Pečarić, J.²

Source: Mathematical Notes, Volume 88, Numbers 5-6, December 2010 , pp. 776-784(9)

Publisher: Springer

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Abstract:

Recently S. Simić has proved log-convexity for differences of power means. We prove a generalization of his result. Namely, log-convexity for differences of mixed symmetric means is proved.

Keywords: log-convexity; mixed means; symmetric power means

Document Type: Research article

DOI: http://dx.doi.org/10.1134/S0001434610110180

Affiliations: 1: Center for Advanced Mathematics and Physics, National University of Sciences and Technology, Lahore, Pakistan, Email: matloob_t@yahoo.com 2: GC University Lahore, Lahore, Pakistan, Email: pecaric@mahazu.hazu.hr

Publication date: 2010-12-01