Symmetry 2021, 13, 2351. https://doi.org/10.3390/sym13122351

Schur-Convexity for Elementary Symmetric Composite Functions and Their Inverse Problems and Applications

Abstract: This paper investigates the Schur-convexity, Schur-geometric convexity, and Schur-harmonic

convexity for the elementary symmetric composite function and its dual form. The inverse problems

are also considered. New inequalities on special means are established by using the theory

of majorization.

Keywords: symmetric function; Schur-convexity; inequality; special means