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- 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. 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。
- arcwise convex function 弧式凸函数
- 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 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。
- 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。
- 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。
- This paper proves the converse propositions of the higher order Cauchy Mean Value Theorem and higher order Lagrange Mean Value Theorem under concave and convex function and strictly concave and convex function. 在函数凹凸和严格凹凸的条件下 ,文章引出并证明了高阶Cauchy中值定理和高阶Lagrange中值定理的 4个逆命题。
- The definitions of N-stationary sequence and the N-stationary sequence of continuous convex function are given, and the relationships between the sequences and their properties are obtained. 给出了非光滑凸函数的N-稳定序列和N-稳定序列的概念，并得到了它们的一些性质和它们之间的一些关系.
- 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。
- 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。
- 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。
- 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.
