Results 11 to 20 of about 50,520 (161)
On Schur Convexity of Some Symmetric Functions [PDF]
Journal of Inequalities and Applications, 2010 For and , the symmetric function is defined as , where are positive integers. In this paper, the Schur convexity, Schur multiplicative convexity, and Schur harmonic convexity of are discussed.
Chu Yu-Ming, Xia Wei-Feng
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Schur-Convexity of the Mean of Convex Functions for Two Variables
Axioms, 2022 The results of Schur convexity established by Elezovic and Pecaric for the average of convex functions are generalized relative to the case of the means for two-variable convex functions. As an application, some binary mean inequalities are given.
Huan-Nan Shi +2 more
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Schur-convexity, Schur-geometric and Schur-harmonic convexity for a composite function of complete symmetric function. [PDF]
Springerplus, 2016 In this paper, using the properties of Schur-convex function, Schur-geometrically convex function and Schur-harmonically convex function, we provide much simpler proofs of the Schur-convexity, Schur-geometric convexity and Schur-harmonic convexity for a composite function of the complete symmetric function.
Shi HN, Zhang J, Ma QH.
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The Schur-Convexity of the Generalized Muirhead-Heronian Means [PDF]
Abstract and Applied Analysis, 2014 We give a unified generalization of the generalized Muirhead means and the generalized Heronian means involving three parameters. The Schur-convexity of the generalized Muirhead-Heronian means is investigated.
Yong-Ping Deng +3 more
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Schur Convexity and Inequalities for a Multivariate Symmetric Function [PDF]
Journal of Function Spaces, 2020 In the article, we provide the Schur, Schur multiplicative, and Schur harmonic convexities properties for the symmetry function Fnx,r=Fnx1,x2,⋯,xn;r=∏1 ...
Ming-Bao Sun +3 more
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Schur-convexity of the Extended Mean Values [PDF]
, 2001 In this article, the Schur-convexity of the extended mean values are proved. Consequently, an inequality between the logarithmic mean values and the identity (exponential) mean values is ...
Qi, Feng
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Notes on the Schur-convexity of the Extended Mean Values [PDF]
, 2002 In this article, the Schur-convexities of the weighted arithmetic mean of function and the extended mean values are proved. Moreover, some inequalities involving the arithmetic mean, the harmonic mean, the logarithmic mean, and comparison between the ...
Qi, Feng +3 more
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Schur Convexity of Generalized Heronian Means Involving Two Parameters
Journal of Inequalities and Applications, 2008 The Schur convexity and Schur-geometric convexity of generalized Heronian means involving two parameters are studied, the main result is then used to obtain several interesting and significantly inequalities for generalized Heronian means.
Bencze Mihály +3 more
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Logarithmic Convexity of the One-Parameter Mean Values [PDF]
, 2004 In this article, the logarithmic convexity of the one-parameter mean values J(r) and the monotonicity of the product J(r)J(−r) with r Є R are presented. Some more general results are established.
Qi, Feng, Cheung, Wing Sum
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Schur-Convexity of Čebišev Functional [PDF]
Mathematical Inequalities & Applications, 2011 In this paper the Čebišev functional T ( f, g ; a, b) is regarded as a function of two variables T ( f, g ; x, y), (x, y) ∈ [a, b]× [a, b]. The property of Schur-covexity (Schur-concavity) of this function is considered. Some applications for the means are pointed out.
Čuljak, Vera, Pečarić, Josip
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