Some properties of a class of symmetric functions and its applications

DOI10.1002/mana.201300073zbMath1305.05226OpenAlexW1491092464MaRDI QIDQ2929417

Nanbo Chen, Ming-Bao Sun, Song-Hua Li

Publication date: 12 November 2014

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201300073

zbMATH Keywords

symmetric functionsSchur convextheory of majorizationgeometric Schur convexharmonic Schur convex

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Inequalities and extremum problems involving convexity in convex geometry (52A40) Convexity of real functions of several variables, generalizations (26B25)

Related Items (2)

Schur-convexity for compositions of complete symmetric function dual ⋮ Compositions involving Schur geometrically convex functions

Cites Work

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• Stochastic ordering and Schur-convex functions in comparison of linear experiments
• Schur convex functions on the spectra of graphs
• Some properties of a generalized Hamy symmetric function and its applications
• The Schur concavity, Schur multiplicative and harmonic convexities of the second dual form of the Hamy symmetric function with applications
• Notes on the Schur-convexity of the extended mean values
• Schur-convexity for a class of symmetric functions and its applications
• On Schur convexity of some symmetric functions
• Schur convexity for a class of symmetric functions
• The Schur harmonic convexity of the Hamy symmetric function and its applications
• Sur les zéros des fonctions symétriques complètes des corps cubiques. (On the zeros of complete symmetric functions in cubic fields)
• Schur-convexity for A-optimal designs
• Convex functions, partial orderings, and statistical applications
• Determinental formulae for complete symmetric functions
• Convexity, Schur-convexity and bounds for the gamma function involving the digamma function
• Generalization and sharpening of Safta's conjecture in the \(n\)-dimensional space
• Inequalities for symmetric functions
• Some properties of a class of symmetric functions
• The Schur multiplicative and harmonic convexities of the complete symmetric function
• An Inequality for Complete Symmetric Functions
• Some inequalities concerning symmetric forms
• On four Inequalities in Symmetric Functions
• Inequalities for certain Classes of Convex Functions
• Schur-convexity of the complete symmetric function
• The Hamy symmetric function and its generalization
• On Complete Symmetric Functions
• The positive-definiteness of the complete symmetric functions of even order
• Two inequalities for the complete symmetric functions
• Monotone Optimal Multipartitions Using Schur Convexity with Respect to Partial Orders
• Schur-convex functions and isoperimetric inequalities
• Partition-Optimization with Schur Convex Sum Objective Functions
• A class of symmetric functions for multiplicatively convex function
• Some properties of dual form of the Hamy's symmetric function
• Schur-Convex functions related to Hadamard-type inequalities
• Analytic Inequalities

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