Filomat 32:19 (2018), 6643–6651

Schur-Convexity for a Mean of Two Variables with Three Parameters

Chun-Ru Fu, Dongsheng Wang, Huan-Nan Shi

Abstract. Schur-convexity, Schur-geometric convexity and Schur-harmonic convexity for a mean of two variables with three parameters are investigated, and some mean value inequalities of two variables are established.

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

Keywords. mean of two variables, Schur-convexity, Schur-geometric convexity, Schur-harmonic convexity, majorization, inequalities

Schur-Convexity for a Mean of Two Variables with Three Parameters.pdf

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