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- uniformly convex functions 一致凸函数
- uniformly convex function 一致凸函数
- It was proved that,when the objective function was uniformly convex,this algorithm possessed superlinear convergence. 证明该算法在目标函数为一致凸时具有局部超线性收敛性。
- 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。
- 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。
- In this paper,we establish the Mann iteration process with errors for nonexpansive mapping in uniformly convex Banach space,and generalize corresponding results of Reich to the Mann iteration process with errors. 本文首先在一致凸 Banach空间中对非扩张映射讨论了带误差的 Mann迭代过程的一些特性 .;然后将 Reich的相应定理推广到带误差的 Mann迭代过程
- 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。
- Abstract: In this paper,a notion on "unit sphere" and "uniformly convex" is introduced in probabilistic normed spaces,it is proved that existence and uniqueness on the optimal approximate element. 文摘:该文在概率赋范空间中引进了"单位球"和"一致凸"的概念,证明了"最佳近似元"的存在性和唯一性。
- 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.
- 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。
- 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。
- Uniformly convex normed linear space 一致凸赋范线性空间
- 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 note,error bounds of maximum entropy method for finite minimax problems with convexity as well as uniformly convexity are investigated. 对具有凸性和一致凸性的极大极小问题,研究了极大熵方法得到的最优解和最优值的误差界。
- 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.
- In this paper it is proved that uniform convexity metric linear spaces with completeness are reflexive. 本文证明了完备的一致凸的度量线性空间是自反的。
- 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。