- Advances in the Theory of Nonlinear Analysis and its Application
- Vol: 3 Issue: 2
- Schur-Convexity for a Class of Completely Symmetric Function Dual
Schur-Convexity for a Class of Completely Symmetric Function Dual
Authors : Huan-Nan Shi, Wei-Shih Du
Pages : 74-89
Doi:10.31197/atnaa.573926
View : 5 | Download : 3
Publication Date : 2019-06-30
Article Type : Research
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