1) K-weakly convex
K-弱凸性
2) K-weak convex
K弱凸
1.
K-weak convex and K-weak smooth space equivalent to K-very convex and K-very smooth space respectively are proved.
证明了K弱凸性与K弱光滑性分别等价于K很凸性与K很光滑性,从而统一了文献[1～2]的一些结果,并说明了把K弱凸和K弱光滑分别称为K很凸和K很光滑更确切。
4) K-quasicon-Vexity
K-拟凸性
5) K-strong convexity
K强凸性
1.
We introduced the K-strong convexity (K-strong smoothness) in locally convex spaces, which are generalizations of both K-strong convexity (K-strong smoothness) in Banach spaces and strong convexity (K-strong smoothness) in locally convex spaces.
首先引进了局部凸空间K强凸性的概念,它既是Banach空间K强凸性概念在局部凸空间中的推广,又是局部凸空间强凸性概念的自然推广;其次给出了局部凸空间K强凸性概念的对偶概念,即局部凸空间K强光滑性的概念,并得到了K强凸(K强光滑)的局部凸空间的特征刻画;最后,在P-自反的条件下给出了它们之间的对偶定理,即(X,TP)是K强凸(K强光滑)的当且仅当(X′,TP′)是K强光滑(K强凸)的。
6) k modulus of convexity
k-凸性模
1.
In this paper,modulus of convexity in space X and L\-p(X) is generalized into k-modulus of convexity, and an inequality about k modulus of convexity in Hilbert space X and L p(X) is obtained.
将空间 X与 Lp( X)中的凸性模推广为 k-凸性模 ,证明了 Hilbert空间 X与空间 Lp( X)中的 k-凸性模不等
补充资料：凸凸
1.高出貌。
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参考词条