scholarly journals Schur-Convexity for a Class of Completely Symmetric Function Dual

2019 ◽  
Vol 3 (2) ◽  
pp. 74-89
Author(s):  
Wei-Shih Du ◽  
Huan-Nan Shi
Keyword(s):  
Symmetric Function ◽  
Schur Convexity

scholarly journals Schur Convexity and Inequalities for a Multivariate Symmetric Function

2020 ◽  
Vol 2020 ◽  
pp. 1-10
Author(s):  
Ming-Bao Sun ◽  
Xin-Ping Li ◽  
Sheng-Fang Tang ◽  
Zai-Yun Zhang
Keyword(s):  
Symmetric Function ◽  
Symmetry Function ◽  
Positive Integers ◽  
Schur Convexity

In the article, we provide the Schur, Schur multiplicative, and Schur harmonic convexities properties for the symmetry function Fnx,r=Fnx1,x2,⋯,xn;r=∏1≤i1<i2<⋯<ir≤n ∑j=1r xij/1−xij1/r on 0,1n and find several new analytical inequalities by use of the majorization theory, where x=x1,⋯,xn∈0,1n, r=1,2,⋯,n and i1,i2,⋯,in are positive integers.

Corrigenda to “On Non-Compact Operators in Weighted Ideal and Symmetric Function Spaces”

2007 ◽  
Vol 14 (4) ◽  
pp. 807-808
Author(s):  
Giorgi Oniani
Keyword(s):  
Symmetric Function ◽  
Compact Operators ◽  
Function Spaces ◽  
J 13

Abstract Corrections to [Oniani, Georgian Math. J. 13: 501–514, 2006] are listed.

The Schur multiplicative and harmonic convexities of the complete symmetric function

2011 ◽  
Vol 284 (5-6) ◽  
pp. 653-663 ◽  
Author(s):  
Y.-M. Chu ◽  
G.-D. Wang ◽  
X.-H. Zhang
Keyword(s):  
Symmetric Function ◽  
Complete Symmetric Function
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