Schur convexity for the ratios of the Hamy and generalized Hamy symmetric functionsReport as inadecuate




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Journal of Inequalities and Applications

, 2011:131

First Online: 05 December 2011Received: 22 February 2011Accepted: 05 December 2011

Abstract

In this paper, we present the Schur convexity and monotonicity properties for the ratios of the Hamy and generalized Hamy symmetric functions and establish some analytic inequalities. The achieved results is inspired by the paper of Hara et al. J. Inequal. Appl. 2 , 387-395, 1998, and the methods from Guan Math. Inequal. Appl. 9 , 797-805, 2006. The inequalities we obtained improve the existing corresponding results and, in some sense, are optimal.

2010 Mathematics Subject Classification : Primary 05E05; Secondary 26D20.

KeywordsHamy symmetric function generalized Hamy symmetric function Schur convex Schur concave  Download fulltext PDF



Author: Wei-Mao Qian

Source: https://link.springer.com/







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