摘要
函数的Schur凸性在不等式理论中有着重要应用,也是不等式理论研究的热点问题之一,通过类比定义了一类完全对称函数并研究了该类对称函数的Schur凸性、Schur乘性凸性及Schur调和凸等性质,作为应用并结合有关控制理论知识建立了若干相关不等式。
The Schur convexity of a function has an important application in inequality theory. It is alsoone of the hot issues in inequality theory. A class of fully symmetric functions is defined by analogy and theproperties of Schur convexity, Schur multiplicative convexity and Schur harmonic convexity of this kind ofsymmetric function are studied, which are used as applications and combined with the knowledge of controltheory to establish several related inequalities.
作者
陈迪三
王春勇
CHEN Disan;WANG Chunyong
出处
《淮南师范学院学报》
2018年第5期134-139,共6页
Journal of Huainan Normal University
基金
漓江文化研究院协同创新团队(201808B)
贺州学院博士启动基金项目(HZUBS201505)
2018年度广西高校中青年教师基础能力提升项目(2018KY0563)
