Abstract and Applied Analysis

Necessary and Sufficient Conditions for Schur Geometrical Convexity of the Four-Parameter Homogeneous Means

Zhen-Hang Yang

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Abstract

The necessary and sufficient conditions for Schur geometrical convexity of the four-parameter means are given. This gives a unified treatment for Schur geometrical convexity of Stolarsky and Gini means.

Article information

Source
Abstr. Appl. Anal., Volume 2010 (2010), Article ID 830163, 16 pages.

Dates
First available in Project Euclid: 1 November 2010

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1288620717

Digital Object Identifier
doi:10.1155/2010/830163

Mathematical Reviews number (MathSciNet)
MR2629624

Zentralblatt MATH identifier
1190.26004

Citation

Yang, Zhen-Hang. Necessary and Sufficient Conditions for Schur Geometrical Convexity of the Four-Parameter Homogeneous Means. Abstr. Appl. Anal. 2010 (2010), Article ID 830163, 16 pages. doi:10.1155/2010/830163. https://projecteuclid.org/euclid.aaa/1288620717


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