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2011 SCHUR-CONVEXITY OF THE GENERALIZED HERONIAN MEANS INVOLVING TWO POSITIVE NUMBERS
Li-Li Fu, Bo-Yan Xi, H. M. Srivastava
Taiwanese J. Math. 15(6): 2721-2731 (2011). DOI: 10.11650/twjm/1500406493

Abstract

In this paper, we give the sufficient as well as necessary condition of the Schur-convexity and Schur-harmonic-convexity of the generalized Heronian means with two positive numbers. Our main results provide the perfected versions of the results given in 2008 by Shi et al. [9].

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Li-Li Fu. Bo-Yan Xi. H. M. Srivastava. "SCHUR-CONVEXITY OF THE GENERALIZED HERONIAN MEANS INVOLVING TWO POSITIVE NUMBERS." Taiwanese J. Math. 15 (6) 2721 - 2731, 2011. https://doi.org/10.11650/twjm/1500406493

Information

Published: 2011
First available in Project Euclid: 18 July 2017

zbMATH: 1247.05259
MathSciNet: MR2896140
Digital Object Identifier: 10.11650/twjm/1500406493

Subjects:
Primary: 05E05
Secondary: 26B25

Keywords: arithmetic-geometric-harmonic means inequalities , generalized Heronian means , Heronian means , Schur-convexity , Schur-geometric-convexity , Schur-harmonic-convexity

Rights: Copyright © 2011 The Mathematical Society of the Republic of China

Vol.15 • No. 6 • 2011
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