Filomat 34:11 (2020), 3663–3674

Schur Convexity of Mixed Mean of n Variables Involving Three Parameters

Dong-sheng Wanga, Huan-Nan Shib, Chun-Ru Fuc

Abstract. In this paper, we discuss the Schur convexity, the Schur geometric convexity and Schur harmonic convexity of the mixed mean of n variables involving three parameters. As an application, we have established some inequalities of the Ky Fan type related to the mixed mean of n variables, and the lower bound inequality of Gini mean for n variables is given.

2010 Mathematics Subject Classification. Primary 26E60; Secondary 26D15, 26A51

Keywords. mixed mean of n variables; Schur convexity; Schur geometric convexity; Schur harmonic convexity; majorization; inequalities

34-11-11-12308.pdf

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