Symmetry 2019, 11, 897; doi:10.3390/sym11070897

 www.mdpi.com/journal/symmetry

 

Schur-Power Convexity of a Completely Symmetric Function Dual

Huan-Nan Shi  and Wei-Shih Du 

Abstract: In this paper, by applying the decision theorem of the Schur-power convex function,
the Schur-power convexity of a class of complete symmetric functions are studied. As applications,
some new inequalities are established.

Keywords: Schur-power convexity; Schur-convexity; Schur-geometric convexity; Schur-harmonic
convexity; completely symmetric function; dual form

MSC: Primary 05E05; 26B25; 26D15

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