J.Math. Inequal. 17 (2023) no.3, 1145–1152.

The relationship between r-convexity and Schur-convexity and its application

Tao Zhang, Alatancang Chen, Bo-Yan Xi and Huan-Nan Shi

Abstract. In this paper, the relationship between r -convexity and Schur-convexity is investigated

first. Moreover, the r -convexity and Schur-convexity of a class of functions are studied. As

applications, some new inequalities on Minkowski’s inequality are established.

Mathematics subject classification (2020): Primary 26A51; Secondary 26D15.

Keywords and phrases: Schur-convex function, r -convex function, Minkowski’s inequality, symmetric function.

The relationship between r-convexity and Schur-convexity and its applicationJMI.pdf