Some properties of a generalized Hamy symmetric function and its applications

DOI10.1016/j.jmaa.2010.10.014zbMath1209.26014OpenAlexW2064678039MaRDI QIDQ624607

Kaizhong Guan, Ruke Guan

Publication date: 9 February 2011

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.10.014

zbMATH Keywords

convexitySchur-convexityHamy symmetric function

Mathematics Subject Classification ID

Convexity of real functions in one variable, generalizations (26A51) Other analytical inequalities (26D20)

Related Items (7)

Some properties of a class of symmetric functions and its applications ⋮ The relationship between r-convexity and Schur-convexity and its application ⋮ Schur convexity for two classes of symmetric functions and their applications ⋮ The Schur multiplicative and harmonic convexities for three classes of symmetric functions ⋮ Some new judgement theorems of Schur geometric and Schur harmonic convexities for a class of symmetric functions ⋮ Properties of functions related to Hadamard type inequality and applications ⋮ Schur-convexity for compositions of complete symmetric function dual

Cites Work

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• Schur-convexity for a class of symmetric functions and its applications
• Multiplicative convexity and its applications
• On an inequality of Ky Fan
• A refinement of various mean inequalities
• Convexity, Schur-convexity and bounds for the gamma function involving the digamma function
• Weak majorization inequalities and convex functions
• Reciprocally convex functions
• The inequality of Ky Fan and related results
• Generalization of an inequality of Ky Fan
• Generalized convexity and inequalities
• Some properties of a class of symmetric functions
• The Hamy symmetric function and its generalization
• Inequalities for symmetric means, symmetric harmonic means, and their applications
• Schur-convex functions and isoperimetric inequalities
• Convexity according to the geometric mean
• Partition-Optimization with Schur Convex Sum Objective Functions
• A class of symmetric functions for multiplicatively convex function
• Inequalities: theory of majorization and its applications

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