Schur-convexity for a class of symmetric functions and its applications

DOI10.1155/2009/493759zbMath1187.26006OpenAlexW2062386777WikidataQ59219991 ScholiaQ59219991MaRDI QIDQ962437

Wei-Feng Xia, Yu-Ming Chu

Publication date: 7 April 2010

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/223733

Mathematics Subject Classification ID

Convex functions and convex programs in convex geometry (52A41) Inequalities for sums, series and integrals (26D15) Convexity of real functions of several variables, generalizations (26B25)

Related Items (16)

Monotonicity properties and bounds involving the complete elliptic integrals of the first kind ⋮ Some properties of a class of symmetric functions and its applications ⋮ Multiplicative concavity of the integral of multiplicatively concave functions ⋮ The relationship between r-convexity and Schur-convexity and its application ⋮ Some properties of a generalized Hamy symmetric function and its applications ⋮ Schur convexity and inequalities for a multivariate symmetric function ⋮ Majorization and relative concavity ⋮ Schur \(m\)-power convexity of a class of multiplicatively convex functions and applications ⋮ Schur-convexity of the Catalan-Qi function related to the Catalan numbers ⋮ Some new judgement theorems of Schur geometric and Schur harmonic convexities for a class of symmetric functions ⋮ Some properties for a class of symmetric functions with applications ⋮ Smooth inequality measurement: approximation theorems ⋮ Majorization theorems for strongly convex functions ⋮ Schur-harmonic convexity related to co-ordinated harmonically convex functions in plane ⋮ Schur-convexity for compositions of complete symmetric function dual ⋮ Schur-harmonic convexity for differences of some means

Cites Work

• Stochastic ordering and Schur-convex functions in comparison of linear experiments
• Schur convex functions on the spectra of graphs
• Convexity, Schur-convexity and bounds for the gamma function involving the digamma function
• Weak majorization inequalities and convex functions
• Generalization and sharpness of the power means inequality and their applications
• Generalized convexity and inequalities
• Some properties of a class of symmetric functions
• Schur-convexity of the complete symmetric function
• The Hamy symmetric function and its generalization
• Monotone Optimal Multipartitions Using Schur Convexity with Respect to Partial Orders
• Schur-convex functions and isoperimetric inequalities
• Convexity according to the geometric mean
• Partition-Optimization with Schur Convex Sum Objective Functions
• Inequalities between the Two Kinds of Eigenvalues of a Linear Transformation
• Inequalities: theory of majorization and its applications
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Schur-convexity for a class of symmetric functions and its applications