Schur-Convexity for a Class of Completely Symmetric Function Dual

Year 2019, Volume: 3 Issue: 2, 74 - 89, 30.06.2019

Huan-Nan Shi Wei-Shih Du

https://doi.org/10.31197/atnaa.573926

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

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