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geometric mean; power mean; Hermitian matrix; permanent of a complex; simplex; arithmetic-geometric inequality

References:

[1] Bullen, P. S., Mitrinovic, D. S., Vasic, P. M.: **Means and Their Inequalities**. Reidel, Dordrecht (1988). MR 0947142 | Zbl 0687.26005

[2] Wang, W. L., Wen, J. J., Shi, H. N.: **Optimal inequalities involving power means**. Acta Math. Sin. 47 (2004), 1053-1062 Chinese. MR 2128070

[3] Pečarić, J. E., Wen, J. J., Wang, W. L., Tao, L.: **A generalization of Maclaurin's inequalities and its applications**. Math. Inequal. Appl. 8 (2005), 583-598. MR 2174887

[4] Wang, W. L., Lin, Z. C.: **A conjecture of the strengthened Jensen's inequality**. Journal of Chengdu University (Natural Science Edition) 10 (1991), 9-13 Chinese.

[5] Chen, J., Wang, Z.: **Proof of an analytic inequality**. J. Ninbo Univ. 5 (1992), 12-14 Chinese.

[6] Chen, J., Wang, Z.: **The converse of an analytic inequality**. J. Ninbo Univ. 2 (1994), 13-15 Chinese.

[7] Wen, J. J., Zhang, Z. H.: **Vandermonde-type determinants and inequalities**. Applied Mathematics E-Notes 6 (2006), 211-218. MR 2231746 | Zbl 1157.15316

[8] Wen, J. J., Wang, W. L.: **Chebyshev type inequalities involving permanents and their application**. Linear Alg. Appl. (2007), 422 295-303. MR 2299014

[9] Wen, J. J., Shi, H. N.: **Optimizing sharpening for Maclaurin inequality**. Journal of Chengdu University (Natural Science Edition) 19 (2000), 1-8 Chinese.

[10] Wen, J. J., Wang, W. L.: **The inequalities involving generalized interpolation polynomial**. Computer and Mathematics with Applications 56 (2008), 1045-1058 [Online: http://dx.doi.org/10.1016/j.camwa.2008.01.032] DOI 10.1016/j.camwa.2008.01.032 | MR 2435283

[11] Wen, J. J., Gao, C. B.: **Geometric inequalities involving the central distance of the centered 2-surround system**. Acta. Math. Sin. 51 (2008), 815-832 Chinese. MR 2454021 | Zbl 1174.26015