1) K-very convex
K非常凸
1.
In this paper,we introduce the locally full K-convexity,discuss the relationship between this convexity and the other convexity and give equivalent condition of K-very convexity,and(weakly)local Kuniform convexity.
引进了局部完全K凸的概念,讨论了这种凸性与其它凸性间的关系,并给出了K非常凸,(弱)局部K一致凸的等价刻画。
2) k-very convex
k-非常凸
1.
The generalized notions of k-very convex,k-very smooth and(weakly) midpoint locally k-uniformly smooth are introduced respectively,and the relationship between them and the other kconvex(k-smooth) are discussed.
引入推广的Banach空间的k-非常凸、k-非常光滑、(弱)中点局部k-一致光滑性的概念,讨论了它们与其它k-凸性(k-光滑性)之间的关系,证明k-非常凸性和k-非常光滑性具有对偶性质,(弱)中点局部k-一致光滑性与(弱)中点局部k-一致凸性具有对偶性质。
2.
In this paper we introduce a new K convex space, that is K-very convex space with K smooth dual space.
本文引入了一种新的K凸空间K-非常凸空间,及其对偶空间K-非常光滑空间,它们分别是非常凸空间和非常光滑空间的推广但又严格弱于非常凸空间和非常光滑空间,因此它们又有许多独特的性质。
3) k-very smooth
k-非常光滑
1.
The generalized notions of k-very convex,k-very smooth and(weakly) midpoint locally k-uniformly smooth are introduced respectively,and the relationship between them and the other kconvex(k-smooth) are discussed.
引入推广的Banach空间的k-非常凸、k-非常光滑、(弱)中点局部k-一致光滑性的概念,讨论了它们与其它k-凸性(k-光滑性)之间的关系,证明k-非常凸性和k-非常光滑性具有对偶性质,(弱)中点局部k-一致光滑性与(弱)中点局部k-一致凸性具有对偶性质。
4) k-very smooth
k非常光滑
5) K-very extremely convex spaces
K-非常极凸空间
6) K-very extremely smooth spaces
K-非常极光滑空间
补充资料：凸凸
1.高出貌。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。