First, locally invex set is defined and based on it a class of new generalized convex function called semilocally-subinvex function is defined 摘要首先引入了局部不变凸集的概念,在此基础之上,定义了一类新的广义凸函数一半局部-次不变凸函数。
These methods are lagrange mean-value theorem, monotone function, extreme value of function, taylor formula, concave and convex function 提出六种常用的方法,并指出每一种方法的适用类型、解决问题的关键和证明问题的具体步骤,最后结合实例说明方法的可用性。
The results show that the fiber with chromatic dispersion that is a convex function of wavelength in normal dispersion region is favorable for generating a flat sc spectrum 发现在光纤的正常色散区,色散曲线与波长的成凸型函数关系的色散特征,有利于平坦光纤超连续谱的产生。
This paper discusses the relationship between quasi-concave and pseudo-convex in the generalized convex function in the linear topological space and offers some conditions of equivalence 摘要讨论了线性拓扑空间上广义凸函数中的拟凸与伪凸之间的关系,并给出它们之间的一些等价条件。
The concept of the midpoint quasi-convex function is introduced, and some conditions are obtained to ensure that midpoint quasi-convex function is quasi-convex in the measurable function space 摘要本文提出了中点拟凸函数的概念,在可测函数空间中,给出了中点拟凸函数拟凸的若干个充分条件。
The concept of the midpoint quasi-convex function is introduced, and some conditions are obtained to ensure that midpoint quasi-convex function is quasi-convex in the measurable function space 摘要本文提出了中点拟凸函数的概念,在可测函数空间中,给出了中点拟凸函数拟凸的若干个充分条件。
Abstract : in this paper, a kind of more generalized arcwise convex functions : p-arcwise convexity functions is defined . on the basis of definitions, sufficient conditions of multiobjective programming are proved 文摘:定义了一类更一般的弧式凸函数,并在此基础上论证了其多目标规划的充分性条件。
This paper shows one interior and common property of some inequalities, i . e . they contain an s-geometrical convex function respectively . and therefore these inequalities are extended in the paper 摘要发现了一些常用不等式的一个共有性质,即它们分别蕴含了一个s-几何凸函数,从而推广了这些不等式。
Chapter 2 established derivatives of a class of set-valued maps and differentials of subdifferential maps of convex functions in the sense of tyurin ( 1965 ) and banks & jacobs ( 1970 ) based on theories of convex pairs space 在第2章中,建立了一类基于凸集对空间的理论在tyurin(1965)和banks&jacobs(1970)意义下集值映射的导数的计算公式和凸函数的次微分映射的微分。
In addition, by phase plane method we obtain the existence of travelling fronts ( al ) connecting two adjacent equilibria under the assumptions that f " is bounded and that of viscous shock waves c connecting two adjacent saddle points with / a convex function 另外,利用经典的相平面分析法,本文证明了()在f有界时存在连接相邻平衡点的波前(a1)及在f为凸时存在连接相邻鞍点的粘性冲击波c。