Schur-Convexity for a Class of Completely Symmetric Function Dual

Authors : HuanNan Shi, WeiShih Du

Pages : 74-89

Doi:10.31197/atnaa.573926

View : 13 | Download : 8

Publication Date : 2019-06-30

Article Type : Research Paper

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