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Schur-Convexity of Averages of Convex Functions [PDF]
Journal of Inequalities and Applications, 2011 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.
Franjić Iva +3 more
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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-power convexity of integral mean for convex functions on the coordinates
Open Mathematics, 2023 In this article, we investigate the concepts of monotonicity, Schur-geometric convexity, Schur-harmonic convexity, and Schur-power convexity for the lower and upper limits of the integral mean, focusing on convex functions on coordinate axes. Furthermore,
Shi Huannan, Zhang Jing
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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 the Simpson formula
Applied Mathematics Letters, 2011 The main objective of this work is to give a necessary and sufficient condition for the function defined as the difference of the Simpson quadrature rule and the arithmetic integral mean to be Schur-convex.
Josip Pecaric, Iva Franjić
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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-harmonic convexity related to co-ordinated harmonically convex functions in plane
Journal of Inequalities and Applications, 2019 In this paper, we investigate Schur-harmonic convexity of some functions which are obtained from the co-ordinated harmonically convex functions on a square in a plane.
Ali Barani
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A Note on Schur-Convexity of Extended Mean Values
Rocky Mountain Journal of Mathematics, 2005 The author proves a Schur-convexity property of the Stolarsky means of two arguments. As a consequence, an inequality between logarithmic mean and identric mean is given. Reviewer's remark. After simple notations, this inequality becomes a result of the reviewer [J. Math. Anal. Appl. 199, No.
Feng Qi
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The Schur-convexity of Stolarsky and Gini means
Banach Journal of Mathematical Analysis, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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OMPLEMENTARY OF CLASSICAL MEANS WITH RESPECT TO HERON MEAN AND THEIR SCHUR CONVEXITIES [PDF]
Proceedings on Engineering Sciences, 2021 In this paper, the complementary of arithmetic mean, geometric mean, harmonic mean and contra harmonic mean with respect to Heron mean are defined. Further, by finding the partial derivatives developed the Schur convexity and Schur geometric convexity ...
K M Nagaraja +3 more
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