Schur convexity of the generalized geometric Bonferroni mean and the relevant inequalities [PDF]
Journal of Inequalities and Applications, 2018 In this paper, we discuss the Schur convexity, Schur geometric convexity and Schur harmonic convexity of the generalized geometric Bonferroni mean. Some inequalities related to the generalized geometric Bonferroni mean are established to illustrate the ...
Huan-Nan Shi, Shan-He Wu
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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.
Huan-nan Shi
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Schur-convexity and Schur-geometrically concavity of Gini means [PDF]
Computers and Mathematics With Applications, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Huan-nan Shi
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Schur m-power convexity of generalized geometric Bonferroni mean involving three parameters
Journal of Inequalities and Applications, 2019 In this paper, we study the Schur m-power convexity of the generalized geometric Bonferroni mean involving three parameters. Our result provides a unified generalization to the work that was done recently by Shi and Wu concerning the Schur convexity of ...
Shan-He Wu, Yu-Ming Chu
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Schur-geometric and Schur-harmonic Convexity of an Integral Mean for Convex Functions [PDF]
Turkish Journal of Analysis and Number Theory, 2016 In the paper, Schur-geometric and Schur-harmonic convexity of an integral mean for convex functions are established.
Feng Qi, Bo-Yan Xi
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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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Schur-geometric convexity of the generalized Gini-Heronian means involving three parameters [PDF]
Journal of Inequalities and Applications, 2014 Abstract In this paper, we give a unified generalization of the Gini means and Heronian means. The Schur-geometric convexity of the generalized Gini-Heronian means are investigated. Our result generalizes an earlier result given by Shi et al. (J. Inequal. Appl.
Yu-Ming Chu
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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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Schur convexity and Schur-geometrically concavity of generalized exponent mean [PDF]
Journal of Mathematical Inequalities, 2009 The monotonicity, the Schur-convexity and the Schur-geometrically convexity with variables (x,y) in R 2 for fixed a of the generalized exponent mean Ia(x,y) is proved. Besides, the monotonicity with parameters a in R for fixed (x,y) of Ia(x,y) is discussed by using the hyperbolic composite function. Furthermore, some new inequalities are obtained.
Li, Da-Mao, Shi, Huan-Nan
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Schur-convexity, Schur geometric and Schur harmonic convexities of dual form of a class symmetric functions [PDF]
Journal of Mathematical Inequalities, 2014 By the properties of Schur-convex function, Schur geometrically convex function and Schur harmonically convex function, Schur-convexity, Schur geometric and Schur harmonic con- vexities of the dual form for a class of symmetric functions are simply proved. As an application, several inequalities are obtained, some of which extend the known ones.
Huan-Nan Shi, Jing Zhang
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