Generalizations of Several Inequalities Related to Multivariate Geometric Means

Bo-Yan Xi; Ying Wu; Huan-Nan Shi; Feng Qi

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Generalizations of Several Inequalities Related to Multivariate Geometric Means

机译：与多元几何均值有关的几个不等式的推广

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摘要

In the paper, by some methods in the theory of majorization, the authors generalize several inequalities related to multivariate geometric means.

机译：在本文中，作者通过专业化理论中的某些方法，概括了与多元几何均值有关的几个不等式。

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来源
《Mathematics》 |2019年第6期|共15页
作者
Bo-Yan Xi; Ying Wu; Huan-Nan Shi; Feng Qi;
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正文语种
中图分类数学;
关键词
Schur convex functionSchur geometrically-convex functionelementary symmetric functioninequalitymultivariate geometric meanmajorization;

机译：Schur凸函数Schur几何凸函数基本对称函数不等式多元几何均值;

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1. A GEOMETRIC CRITERION FOR THE CONVEXITY OF POWELL-SABIN INTERPOLANTS AND ITS MULTIVARIATE GENERALIZATION [J] . CLAUDIA BANGERT, HARTMUT PRAUTZSCH Computer Aided Geometric Design . 1999,第6期

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2. Generalizations for singular value and arithmetic-geometric mean inequalities of operators [J] . Audeh Wasim Journal of Mathematical Analysis and Applications . 2020,第2期

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3. A generalization and an application of the arithmetica??geometric mean inequality for the Frobenius norm [J] . Xuesha Wu Journal of inequalities and applications . 2018,第1期

机译：Frobenius范数的算术几何平均不等式的推广和应用
4. A multivariate generalization of Costa's entropy power inequality [C] . Miquel Payaro, Daniel P. Palomar IEEE International Symposium on Information Theory . 2008

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5. Elliptic brunn-minkowski theory: Generalizations of the Brunn-Minkowski inequalities. [D] . Yarmish, Jason. 2014

机译：椭圆形的brunn-minkowski理论：Brunn-Minkowski不等式的推广。
6. A generalization and an application of the arithmetic–geometric mean inequality for the Frobenius norm [O] . Xuesha Wu -1

机译：Frobenius范数的算术-几何平均不等式的推广和应用
7. A Geometric Criterion for the Convexity of Powell-Sabin Interpolants and its multivariate generalization [O] . Claudia Bangert, Hartmut Prautzsch 1999

机译：powell-sabin插值凸性的几何判据及其多元推广

Generalizations of Several Inequalities Related to Multivariate Geometric Means

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