Schur convexity of the generalized geometric Bonferroni mean and the relevant inequalities

Author:

Shi Huan-Nan,Wu Shan-He

Funder

Natural Science Foundation of Fujian Province of China

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Reference32 articles.

1. Marshall, AW, Olkin, I, Arnold, BC: Inequalities: Theory of Majorization and Its Application, 2nd edn. Springer, New York (2011)

2. Shi, HN: Theory of Majorization and Analytic Inequalities. Harbin Institute of Technology Press, Harbin (2012) (in Chinese)

3. Zhang, XM, Yang, ZH: Differential criterion of n-dimensional geometrically convex functions. J. Appl. Anal. 13(2), 197-208 (2007)

4. Chu, Y, Zhang, XM, Wang, GD: The Schur geometrical convexity of the extended mean values. J. Convex Anal. 15(4), 707-718 (2008)

5. Chu, YM, Xia, WF: Necessary and sufficient conditions for the Schur harmonic convexity of the generalized Muirhead mean. Proc. A. Razmadze Math. Inst. 152, 19-27 (2010)

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