Translator Disclaimer
2011 Sharp Bounds for Power Mean in Terms of Generalized Heronian Mean
Hongya Gao, Jianling Guo, Wanguo Yu
Abstr. Appl. Anal. 2011(none): 1-9 (2011). DOI: 10.1155/2011/679201

Abstract

For 1 < r < + , we find the least value α and the greatest value β such that the inequality H α ( a , b ) < A r ( a , b ) < H β ( a , b ) holds for all a , b > 0 with a b . Here, H ω ( a , b ) and A r ( a , b ) are the generalized Heronian and the power means of two positive numbers a and b , respectively.

Citation

Download Citation

Hongya Gao. Jianling Guo. Wanguo Yu. "Sharp Bounds for Power Mean in Terms of Generalized Heronian Mean." Abstr. Appl. Anal. 2011 1 - 9, 2011. https://doi.org/10.1155/2011/679201

Information

Published: 2011
First available in Project Euclid: 12 August 2011

zbMATH: 1218.26022
MathSciNet: MR2800081
Digital Object Identifier: 10.1155/2011/679201

Rights: Copyright © 2011 Hindawi

JOURNAL ARTICLE
9 PAGES


SHARE
Vol.2011 • 2011
Back to Top