Schur-convexity for compositions of complete symmetric function dual

Abstract

Abstract The Schur-convexity for certain compound functions involving the dual of the complete symmetric function is studied. As an application, the Schur-convexity of some special symmetric functions is discussed and some inequalities are established.

Keywords

• Schur-convexity
• Schur-geometric convexity
• Schur-harmonic convexity
• Completely symmetric function
• Dual form