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

Schur convexity properties of the weighted arithmetic integral mean and Chebyshev functional. (English) Zbl 1299.26031

Rev. Anal. Numér. Théor. Approx. 42, No. 1, 72-81 (2013).
Summary: 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.

Cited in 1 Document

MSC:

26B25 Convexity of real functions of several variables, generalizations
05E05 Symmetric functions and generalizations

Keywords:

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