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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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 and Schur-Geometric Convexity of Čebyšev Functional
, 2009 The Schur-convexity or concavity and the Schur-geometric convexity or concavity of the Čebyšev Functional on the upper and lower limits of the integral are discussed.
Zhang, Jian, Shi, Huan-Nan
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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 for compositions of complete symmetric function dual
Journal of Inequalities and Applications, 2020 The Schur-convexity for certain compound functions involving the dual of the complete symmetric function is studied. As an application, the Schur-convexity of some special symmetric functions is discussed and some inequalities are established.
Huan-Nan Shi, Pei Wang, Jian Zhang
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Schur Geometric Convexity of Related Function for Holders Inequality with Application
European Journal of Pure and Applied Mathematics, 2020 In this paper, we investigated the Schur geometric convexity of related function for Holders Inequality by using majorization inequality theory and some applications are established.
Sreenivasa Reddy Perla +2 more
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Some new judgement theorems of Schur geometric and Schur harmonic convexities for a class of symmetric functions [PDF]
Journal of Inequalities and Applications, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shi, Huan-Nan, Zhang, Jing
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Compositions involving Schur geometrically convex functions
Journal of Inequalities and Applications, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shi, Huan-Nan, Zhang, Jing
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Necessary and Sufficient Conditions for Schur Geometrical Convexity of the Four‐Parameter Homogeneous Means [PDF]
Abstract and Applied Analysis, 2010 The necessary and sufficient conditions for Schur geometrical convexity of the four‐parameter means are given. This gives a unified treatment for Schur geometrical convexity of Stolarsky and Gini means.
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