排序方式: 共有57条查询结果,搜索用时 15 毫秒
1.
算子Dα及其刻划的亚纯p叶函数类 总被引:1,自引:0,他引:1
用算子Dα刻划了亚纯星象函数,亚纯凸象函数,亚纯近于凸函数和亚纯拟凸函数的新子类,建立了包含关系,讨论了这些类中函数积分算子的性质. 相似文献
2.
在C~n中有界凸Reinhardt域上讨论了一类介于凸映射类与星形映射类之间的“完全准凸映射类”.特别地,在C~n中的多圆柱上给出了完全准凸映射的分解定理,得到了多圆柱上判别凸映射的一个改进的充分条件. 相似文献
3.
LIU Taishun & XU Qinghua Department of Mathematics Huzhou Teachers College Huzhou China Department of Mathematics Jiangxi Normal University Nanchang China 《中国科学A辑(英文版)》2006,(11)
In this paper, a class of biholomorphic mappings named quasi-convex mapping of order a in the unit ball of a complex Banach space is introduced. When the Banach space is confined to Cn, we obtain the relation between this class of mappings and the convex mappings. Furthermore, the growth and covering theorems of this class of mappings are given on the unit ball of a complex Banach space X. Finally, we get the second order terms coefficient estimations of the homogeneous expansion of quasi-convex mapping of order a defined on the polydisc in Cn and on the unit ball in a complex Banach space, respectively. 相似文献
4.
Xie Ping Ding 《Journal of Global Optimization》2007,38(3):367-385
This paper is a continuum of the preceding paper of author. By applying a coincidence theorem in noncompact FC-space without
any convexity structure due to author, a new KKM type theorem is first proved under noncompact setting of FC-spaces. The equivalent
relation between the coincidence theorem and the KKM type theorem is also established. As applications of the KKM type theorem,
we establish some new existence theorems of solutions for three classes of generalized vector equilibrium problems under noncompact
setting of FC-spaces. These theorems improve and generalize many known results in literature. 相似文献
5.
In this paper, we will use the Schwarz lemma at the boundary to character the distortion theorems of determinant at the extreme points and distortion theorems of matrix on the complex tangent space at the extreme points for normalized locally biholomorphic quasi-convex mappings in the unit ball B n respectively. 相似文献
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7.
Rafael Oswaldo Ruggiero 《Transactions of the American Mathematical Society》1998,350(2):665-687
We show that if the universal covering of a compact Riemannian manifold with no conjugate points is a quasi-convex metric space then the following assertion holds: Either the universal covering of the manifold is a hyperbolic geodesic space or it contains a quasi-isometric immersion of .
8.
We establish the necessary and sufficient optimality conditions for a class of nondifferentiable minimax fractional programming problems solving generalized convex functions. Subsequently, we apply the optimality conditions to formulate one parametric dual problem and we prove weak duality, strong duality, and strict converse duality theorems. 相似文献
9.
Cn空间中光滑函数的一种积分表示 总被引:1,自引:0,他引:1
应用单位分解的观点及核函数的构造理论,得到C^n空间中有界域上光滑函数的一种积分表示,根据这一积分表示,可以得到多复变数光滑函数至今已有的许多积分公式以及它们的拓广式。 相似文献
10.
In this article,the authors obtain an inequality of homogeneous expansion for f,where f is a quasi-convex mapping(including quasi-convex mapping of type A and quasi-convex mapping of type B)defined on the open unit polydisk in C n .Meanwhile,the authors also investigate its application. 相似文献