Some properties of a class of symmetric functions

The Schur-convexity and Schur-geometric-convexity of a class of symmetric functions are investigated. As consequences some new proofs of the well-known Ky Fan's inequality and Shapiro's inequality are presented, respectively. We also give another proof of a problem posted by S. Gabler in [...

Celý popis

Uloženo v:
Podrobná bibliografie
Vydáno v:Journal of mathematical analysis and applications Ročník 336; číslo 1; s. 70 - 80
Hlavní autor: Guan, Kaizhong
Médium: Journal Article
Jazyk:angličtina
Vydáno: San Diego, CA Elsevier Inc 01.12.2007
Elsevier
Témata:
Algebraic combinatorics
Combinatorics
Combinatorics. Ordered structures
Exact sciences and technology
Ky Fan's inequality
Mathematical analysis
Mathematics
Schur-convex function
Schur-geometrically-convex function
Sciences and techniques of general use
Several complex variables and analytic spaces
Shapiro's inequality
Shapiro's inequality
Schur-convex function
Schur-geometrically-convex function
Ky Fan's inequality
Mathematical analysis
Geometric convexity
Convex function
Application
ISSN:0022-247X, 1096-0813
On-line přístup:Získat plný text
Tagy: Přidat tag
Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!
Popis
Shrnutí:The Schur-convexity and Schur-geometric-convexity of a class of symmetric functions are investigated. As consequences some new proofs of the well-known Ky Fan's inequality and Shapiro's inequality are presented, respectively. We also give another proof of a problem posted by S. Gabler in [S. Gabler, Aufgabe 830, Elem. Math. 3 (1980) 124–125]. Some interesting matrix and geometric inequalities are established to show the applications of our results.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2007.02.064