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Carnot群上的r-凸函数与广义加权平均值
  • 期刊名称：数学物理学报, 31A(2), pp 430-438, 夏季 2011.
  • 时间：0
  • 分类：O178[理学—数学;理学—基础数学]
  • 作者机构：[1]湖南理工学院数学学院,湖南岳阳414000, [2]南京理工大学理学院,南京210094
  • 相关基金：基金项目：国家自然科学基金（10871061,11071119）、湖南省自然科学基金（07JJ3006,09JJ6015）、湖南省教育厅科研项目（07A025,108040）和省重点学科建设项目资助
  • 相关项目：Carnot群上的凸分析与Monge-Ampere方程
关键词： r-凸函数, 广义加权平均值, 双参数拓广平均值, CARNOT群, 不等式, r-convex function, Generalized weighted mean values, Extended mean values, Carnot group, Inequality.
中文摘要：

该文建立了Carnot群上的r-凸函数与广义加权平均值间的关系,它们是经典凸函数的Hadamard不等式的推广.

英文摘要：

In this paper,we establish the relationship between generalized weighted mean values and r-convex functions on Carnot group G,which is a generalization of the classical Hadamard’s inequality for convex functions.

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