多元函数形式的单调有界原理及其应用  

The Monotone Bounded Principle of Multivariate Function Form and Its Application

作　　者：赵莉莉 ZHAO Lili(School of Mathematics and Statistics,Yunnan University,Kunming,Yunnan 650091)

机构地区：[1]云南大学数学与统计学院,云南昆明650091

出　　处：《绍兴文理学院学报》2023年第8期26-31,共6页Journal of Shaoxing University

基　　金：云南省教育厅自然科学基金项目“时标上人工神经网络的概自守型解”(2020J0020).

摘　　要：通过构建坐标平面上的点的合适的序关系,将单调有界原理推广到坐标平面上,并利用二重极限、上确界,以及下确界的定义进行证明,相应地也给出了应用实例,并将坐标平面上的函数形式的单调有界原理推广到n维欧几里德空间中.First,by constructing the proper order relation of points on the coordinate plane,the monotone bounded principle was extended to the coordinate plane;the definitions of double limit,upper bound and lower bound were used to prove it,and an application example was accordingly given.Finally,the monotone bounded principle of function form on coordinate plane was extended to Euclidean space.

关 键 词：函数极限 单调有界原理 上确界 下确界 坐标平面 

分 类 号：O175.1[理学—数学]