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Schur-Convexity of Averages of Convex Functions
The object is to give an overview of the study of Schur-convexity of various means and functions and to contribute to the subject with some new results.
Čuljak Vera +3 more
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On the use of elliptic PDEs for the parameterisation of planar multipatch domains: Part 1: Numerical algorithms and foundations of parametric control. [PDF]
Hinz J, Buffa A.
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Schur-harmonic convexity for differences of some means
Analysis (Germany), 2012Summary: The authors discuss the Schur-harmonic convexity on \((0,\infty ) \times (0,\infty )\) for differences of some famous means, such as the arithmetic, geometric, harmonic, root-square means, and the like, and obtain some inequalities related to differences of means.
Feng Qi
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The Schur harmonic convexity for a class of symmetric functions
Acta Mathematica Scientia, 2010In this article, we prove that the symmetric function Fn*(x,r)=∑i1+i2+⋯+in=r(x1i1x2i2⋯xnin)1r is Schur harmonic convex for x∞R+n and r ∞ N = {1, 2, 3,···}. As its applications, some analytic inequalities are established.
Yu-Ming Chu
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Schur Harmonic Convexity of the Mean of Convex Functions for Two Variables
2025 International Conference on Knowledge Engineering and Communication Systems (ICKECS)M R Chowdappa +4 more
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Schur-convexity and Schur-geometrically concavity of Gini means [PDF]
The Schur-convexity and the Schur-geometric convexity with variables (x,y)∈R++2 for fixed (s,t) of Gini means G(r,s;x,y) are discussed.
Huan-nan Shi
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