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- Pseudolinear function as a generalized convex function has been studied extensively. 摘要伪线性函数作为一种广义凸函数已经被广泛的研究。
- 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。
- Non-smooth and Generalized Convex Function 非光滑广义凸函数
- Moreover, a series of inequalities for this two types of convex function are established, which generalizes famous inequalities for general convex functions. 讨论了这两类凸函数等价的条件,并建立了有关这两类凸函数一系列新的不等式,它们是通常的凸函数中某些著名不等式的推广。
- The properties of general convex sets and convex functions: E-convex sets and E-convex functions are investigated, a criterion of E-convex function is given. 摘要讨论了一类广义的凸集和凸函数：E-凸集和E-凸函数的若干性质，并给出E-凸函数的一个判别准则。
- The Equivalent Condition of Several Kinds of Generalized Convex Function in Linear Topological Space 线性拓扑空间上几种广义凸函数的等价条件
- generalized convex functions 广义凸函数
- generalized convex function 广义凸函数
- The formula is given for? calculating? generalized directional derivative by using the directional derivative of convex functions. 给出了用凸函数方向导数计算广义方向导数的公式.
- Alternative characterization of concave and convex functions which is sometimes useful. 对于凹函数和凸函数还有一个替补的表征，有时它是有用的。
- A new class of system of generalized vector quasi-equilibrium problems (SGVQEP) is introduced and studied in generalized convex spaces. 摘要该文在广义G-凸空间中引入并研究了一类新的广义矢量拟平衡问题组(SGVQEP)。
- Duality is emphasized throughout,particularly in the form of Fenchel's conjugacy correspondence for convex functions. 这本书的目的是为了提供各类凸集和凸函数理论的介绍，它们在极值问题的应用中发挥核心作用。
- A property of quadratic differential convex functions is proven and applications of it are given as well. 证明了二次可微凸函数的一个性质，并给出了这个性质的一个应用。
- R-convex functions are the generalizations of convex functions, which includes the family of convex. 凸函数是凸函数的一种推广形式，它完全包含了凸函数族。
- This paper proves the equivalent relation of two definitions of convex function. 文章给出了两个常用凸函数定义的等价性证明。
- Convexity and generalized convexity of functions play an important role in mathematical programming and optimal theory. 摘要函数的凸性与广义凸性在数学规划以及最优化理论中起着非常重要的作用。
- Weak duality theorem is established under generalized convexity conditions. 在广义凸性条件下,建立了弱对偶性定理。
- 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。
- This Paper discusses the linear regression of one variable from the vie-wpoint of convex set and convex function in the light of the MSAE principles. 本文用凸集和凸函数观点讨论按MSAE准则下的一元线性回归.
- In this paper we would give a summary to the convexities of sets and functions to provoke people's researching interest to generalized convexity. 摘要对庞大的凸性家族给予轮廓性描述，以期引起同仁对各种非常规凸性研究的关注。
