The Schur multiplicative and harmonic convexities of the complete symmetric function

YM Chu, GD Wang, XH Zhang - Mathematische Nachrichten, 2011 - Wiley Online Library
This paper investigates the Schur multiplicative and harmonic convexities of the complete
symmetric function article amssymb empty F_n(x,r)=∑_i_1+i_2+⋯+i_n=rx_1^i_1x_2^i_2 …

[PDF][PDF] The Schur geometrical convexity of the extended mean values

C Yuming, Z Xiaoming, W Gendi - Journal of Convex …, 2008 - heldermann-verlag.de
The Schur Geometrical Convexity of the Extended Mean Values∗ Page 1 Journal of Convex
Analysis Volume 15 (2008), No. 4, 707–718 The Schur Geometrical Convexity of the Extended …

Necessary and sufficient conditions such that extended mean values are Schur-convex or Schur-concave

Y Chu, X Zhang - Journal of Mathematics of Kyoto University, 2008 - projecteuclid.org
Necessary and sufficient conditions such that extended mean values are Schur-convex or
Schur-concave Page 1 i i i i J. Math. Kyoto Univ. (JMKYAZ) 48-1 (2008), 229–238 Necessary …

[PDF][PDF] An alternative note on the Schur-convexity of the extended mean values

H Shi, S Wu, F Qi - Mathematical Inequalities and Applications, 2006 - academia.edu
XXXX Page 1 M athematical I nequalities & A pplications Volume 9, Number 2 (2006), 219–224
AN ALTERNATIVE NOTE ON THE SCHUR–CONVEXITY OF THE EXTENDED MEAN VALUES …

[HTML][HTML] Schur-convexity and Schur-geometrically concavity of Gini means

HN Shi, YM Jiang, WD Jiang - Computers & Mathematics with Applications, 2009 - Elsevier
Schur-convexity and Schur-geometrically concavity of Gini means - ScienceDirect Skip to main
contentSkip to article Elsevier logo Journals & Books Search RegisterSign in View PDF …

[图书][B] Schur-Convex Functions and Inequalities: Volume 2: Applications in Inequalities

H Shi - 2019 - books.google.com
This two-volume work introduces the theory and applications of Schur-convex functions. The
second volume mainly focuses on the application of Schur-convex functions in sequences …

[PDF][PDF] The Schur harmonic convexity of the Hamy symmetric function and its applications

Y Chu, Y Lv - Journal of Inequalities and Applications, 2009 - Springer
Research Article The Schur Harmonic Convexity of the Hamy Symmetric Function and Its
Applications Page 1 Hindawi Publishing Corporation Journal of Inequalities and …

A note on Schur-convexity of extended mean values

F Qi - The Rocky Mountain Journal of Mathematics, 2005 - JSTOR
A NOTE ON SCHUR-CONVEXITY OF EXTENDED MEAN VALUES Page 1 ROCKY MOUNTAIN
JOURNAL OF MATHEMATICS Volume 35, Number 5, 2005 A NOTE ON SCHUR-CONVEXITY …

The Schur harmonic convexity for a class of symmetric functions

C Yuming, S Tianchuan - Acta Mathematica Scientia, 2010 - Elsevier
The Schur harmonic convexity for a class of symmetric functions Page 1 Acta Mathematica
Scientia 2010,30B(5):1501–1506 http://actams.wipm.ac.cn THE SCHUR HARMONIC …

The Schur convexity of Gini mean values in the sense of harmonic mean

W Xia, Y Chu - Acta Mathematica Scientia, 2011 - Elsevier
We prove that the Gini mean values S (a, b; x, y) are Schur harmonic convex with respect to
(x, y)∈(0,∞)×(0,∞) if and only if (a, b)∈{(a, b): a≥ 0, a≥ b, a+ b+ 1≥ 0}∪{(a, b): b≥ a, a+ …