Abstract and Applied Analysis

The Schur-Convexity of the Generalized Muirhead-Heronian Means

Yong-Ping Deng, Shan-He Wu, Yu-Ming Chu, and Deng He

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Abstract

We give a unified generalization of the generalized Muirhead means and the generalized Heronian means involving three parameters. The Schur-convexity of the generalized Muirhead-Heronian means is investigated. Our main result implies the sufficient conditions of the Schur-convexity of the generalized Heronian means and the generalized Muirhead means.

Article information

Source
Abstr. Appl. Anal., Volume 2014 (2014), Article ID 706518, 11 pages.

Dates
First available in Project Euclid: 2 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412277176

Digital Object Identifier
doi:10.1155/2014/706518

Mathematical Reviews number (MathSciNet)
MR3256257

Zentralblatt MATH identifier
1332.26039

Citation

Deng, Yong-Ping; Wu, Shan-He; Chu, Yu-Ming; He, Deng. The Schur-Convexity of the Generalized Muirhead-Heronian Means. Abstr. Appl. Anal. 2014 (2014), Article ID 706518, 11 pages. doi:10.1155/2014/706518. https://projecteuclid.org/euclid.aaa/1412277176


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