Schur convexity properties of the weighted arithmetic integral mean and Chebyshev functional

Long Bo-Yong; Jiang Yue-Ping; Chu Yu-Ming

doi:10.33993/jnaat421-983

Authors

Long Bo-Yong Anhui University, China
Jiang Yue-Ping Hunan University, China
Chu Yu-Ming Huzhou Teachers College, China

DOI:

https://doi.org/10.33993/jnaat421-983

Keywords:

weighted arithmetic integral mean, weighted Chebyshev functional, Schur convex, Schur geometrically convex, Schur harmonic convex

Abstract views: 240

Abstract

In this paper, we discuss the Schur convexity, Schur geometrical convexity and Schur harmonic convexity of the weighted arithmetic integral mean and Chebyshev functional. Several sufficient conditions, and necessary and sufficient conditions are established.

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References

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