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2009 Optimal Inequalities among Various Means of Two Arguments
Ming-yu Shi, Yu-ming Chu, Yue-ping Jiang
Abstr. Appl. Anal. 2009: 1-10 (2009). DOI: 10.1155/2009/694394

Abstract

We establish two optimal inequalities among power mean Mp(a,b)=(ap/2+bp/2)1/p, arithmetic mean A(a,b)=(a+b)/2, logarithmic mean L(a,b)=(ab)/(logalogb), and geometric mean G(a,b)=ab.

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Ming-yu Shi. Yu-ming Chu. Yue-ping Jiang. "Optimal Inequalities among Various Means of Two Arguments." Abstr. Appl. Anal. 2009 1 - 10, 2009. https://doi.org/10.1155/2009/694394

Information

Published: 2009
First available in Project Euclid: 16 March 2010

zbMATH: 1187.26017
MathSciNet: MR2563995
Digital Object Identifier: 10.1155/2009/694394

Rights: Copyright © 2009 Hindawi

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