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2015 Sharp Power Mean Bounds for Sándor Mean
Yu-Ming Chu, Zhen-Hang Yang, Li-Min Wu
Abstr. Appl. Anal. 2015: 1-5 (2015). DOI: 10.1155/2015/172867


We prove that the double inequality Mp(a,b)<X(a,b)<Mq(a,b) holds for all a,b>0 with ab if and only if p1/3 and qlog 2/(1+log 2)=0.4093…, where X(a,b) and Mr(a,b) are the Sándor and rth power means of a and b, respectively.


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Yu-Ming Chu. Zhen-Hang Yang. Li-Min Wu. "Sharp Power Mean Bounds for Sándor Mean." Abstr. Appl. Anal. 2015 1 - 5, 2015.


Published: 2015
First available in Project Euclid: 15 April 2015

zbMATH: 1372.26032
MathSciNet: MR3303262
Digital Object Identifier: 10.1155/2015/172867

Rights: Copyright © 2015 Hindawi

Vol.2015 • 2015
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