The Schur harmonic convexity for a class of symmetric functions

DOI10.1016/S0252-9602(10)60142-7zbMath1240.26027OpenAlexW1979636036MaRDI QIDQ717344

Yu-Ming Chu, Tian-Chuan Sun

Publication date: 29 September 2011

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(10)60142-7

zbMATH Keywords

symmetric functionSchur convexSchur harmonic convex

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Convexity of real functions of several variables, generalizations (26B25) Other analytical inequalities (26D20)

Related Items (12)

The property of a new class of symmetric functions with applications ⋮ Conformable integral inequalities of the Hermite-Hadamard type in terms of GG- and GA-convexities ⋮ Monotonicity, convexity and inequalities involving the generalized elliptic integrals ⋮ Monotonicity properties and bounds involving the complete elliptic integrals of the first kind ⋮ Schur \(m\)-power convexity of a class of multiplicatively convex functions and applications ⋮ 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 ⋮ Properties of functions related to Hadamard type inequality and applications ⋮ Discrete majorization type inequalities for convex functions on rectangles ⋮ 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

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