Some new results for power means


Authors

Yu-Qin Xu - School of Electrical and Electronic Engineering, North China Electric Power University, Hebei Province, 071003, Baoding, P. R. China. Kun Chen - School of Electrical and Electronic Engineering, North China Electric Power University, Baoding, Hebei Province, 071003, P. R. China. Jing-Feng Tian - College of Science and Technology, North China Electric Power University, Baoding, Hebei Province, 071051, P. R. China.


Abstract

In this paper, we establish some new inequalities for power means with n positive numbers. Moreover, some new properties of \(p \mapsto M_n(a; p)\) are obtained, where \(M_n(a; p)\) denotes the p-th power mean of first n entry of vector a.


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ISRP Style

Yu-Qin Xu, Kun Chen, Jing-Feng Tian, Some new results for power means, Journal of Nonlinear Sciences and Applications, 8 (2015), no. 4, 423--433

AMA Style

Xu Yu-Qin, Chen Kun, Tian Jing-Feng, Some new results for power means. J. Nonlinear Sci. Appl. (2015); 8(4):423--433

Chicago/Turabian Style

Xu, Yu-Qin, Chen, Kun, Tian, Jing-Feng. "Some new results for power means." Journal of Nonlinear Sciences and Applications, 8, no. 4 (2015): 423--433


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