Advances in the Theory of Nonlinear Analysis and its Applications 3 (2019) No. 2, 74-88.

Schur-Convexity for a Class of Completely Symmetric Function Dual

Huan-Nan Shi, Wei-Shih Du

Abstract：
By using the decision theorem and properties of the Schur-convex function, the Schur-geometric convex function and the Schur-harmonic function, the Schur- convexity, Schur-geometric convexity and Schur-harmonic convexity of a class of complete symmetric functions are studied. As applications, some symmetric

function inequalities are established.

Keywords:

Schur-convexity; Schur-geometric convexity; Schur-harmonic convexity; completely symmetric function; dual form.

2010 MSC: 05E05, 26B25.

ATNAA_2019_v3(2)_3.pdf

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