Schur-convexity, Schur-geometric and Schur-harmonic convexity for a composite function of complete symmetric function

SpringerPlus(2016)

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摘要
In this paper, using the properties of Schur-convex function, Schur-geometrically convex function and Schur-harmonically convex function, we provide much simpler proofs of the Schur-convexity, Schur-geometric convexity and Schur-harmonic convexity for a composite function of the complete symmetric function.
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关键词
Complete symmetric function,Schur-convexity,Schur-geometric convexity,Schur-harmonic convexity
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