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- 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。
- uniformly convex functions 一致凸函数
- 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。
- 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
- 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。
- 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。
- 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。
- Uniformly convex normed linear space 一致凸赋范线性空间
- 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。
- 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 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。
- The relations among these uniform convexity and uniform smoothness, very smoothness, uniform extreme smoothness and extreme smoothness are studed. 讨论了这些凸性与一致光滑、非常光滑、一致极光滑、很极光滑等光滑性之间的关系。
- 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。
