THE RELATIONSHIP BETWEEN r-CONVEXITY AND SCHUR-CONVEXITY AND ITS APPLICATION

Tao Zhang,Alatancang Chen,Bo-yan Xi,Huan -nan Shi

JOURNAL OF MATHEMATICAL INEQUALITIES（2023）

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摘要

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.

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关键词

Schur-convex function,r-convex function,Minkowski's inequality,symmet-ric function

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