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一个三参数二元均值的Schur凸性

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Filomat 32:19 (2018), 6643–6651
https://doi.org/10.2298/FIL1819643F


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


Chun-Ru Fua, Dongsheng Wangb, 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


32-19-10-3415(Schur-Convexity for a Mean of Two Variables with Three Parameters).pdf





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