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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 function 广义凸函数
- generalized convex functions 广义凸函数
- 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。
- 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)。
- 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.
- 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,the complete conjugte properties about the upper and lower exponents for mutual conjugate convex function on linear spaces are obtained. 在一般线性空间上，给出凸函数的上、下指数的定义，并建立了共轭凸函数的指数共轭关系.
- Here we discuss its properties basing on the definition of the strong pseudoconvex function,and give its relationship with strong convex function. 文中在给出强伪凸函数定义的基础上讨论了它的一些性质,另外还给出了它与强凸函数之间的关系。
- The paper uses the Convex Function to form the order Statistics and the Linear Rank Statistics, and prove the asymptotic normality of the statistics. 摘要本文用凸函数构造了线性次序统计量和线性秩统计量，并证明了它们的渐近正态性。
- 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。
- The author probes into the important application of convex function in proving inequalities,popularizes and proves some inequalities,and obtains some new results. 探讨了凸函数在不等式证明中的重要应用,推广并证明了一些不等式,得到了新的结果。
- The results show that, by properly choosing convex function according to specific application, the performance of QE can be made better than that of entropy. 结果表明，根据特定应用，恰当选取凸函数，可令准熵获得比熵更好的性能。
- As applications of majorizing inequality of convex function of several variables, some majorizing inequalities of eigenvalue and singular value of matrix are obtained. 作为多元凸函数的控制不等式在矩阵方面的初步应用,获得了矩阵特征值和奇异值的简洁的控制不等式。
