Italian Journal of Pure And Applied Mathematics （EI期刊），2022，48 ：1161–1173

Huan-nan Shi, Shanhe Wu, Dongsheng Wang

Schur power convex functions with applications to a class of conditional inequalities

Abstract. In this paper, by the use of Schur power convexity, we prove some inequalities involving the condition that the sum of powers of variables is a fixed value. It is shown that the approach proposed is useful for establishing certain conditional inequalities. 

Keywords: Schur power convex function, Schur convexity, majorization, power mean, conditional inequality.

90 Shi-Wu-Wang.pdf