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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
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