强凸性,strong rotundity,在线英语词典,英文翻译,专业英语

1) strong rotundity

强凸性

In this paper,using the properties of lp and the relation between lp and lp(Xi),we discuss strong rotundity,property(M)and property(S) of Banach sequence spaces lp(Xi),and give their criteria.

利用lp空间的性质及lp和lp(Xi)的关系,讨论了lp(Xi)的强凸性(、M)性质和(S)性质,给出了它们的充要条件。

2) K-strong convexity

K强凸性

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。

3) k-strong convex

k-强凸性

The notion of k-strong convexity respectively are introduced in [1] and [2],but the equivalence of notions is not proved,the notions is not uniform possibly,we explore the notions are equivalent.

文献[1]与[2]分别给出了两种形式的Banach空间k-强凸性的概念,但没有证明它们是等价的,因而可能出现概念不统一等情况,为此本文证明了这两种形式的概念是等价的。

4) generalized strongly convex

广义强凸性

5) strong-convexity for a preference preordering

偏好预序关系的强凸性

6) strong rotundity

强凸

In this paper, we discuss midpoint local uniform rotundity, weak local uniform rotundity and strong rotundity of Cesaro vector_valued sequence spaces cesp(Ek),and give their cirtieria.

讨论了Cesaro矢值序列空间cesp(Ek)的中点局部一致凸、弱局部一致凸和强凸性,给出了它们的判据。

参考词条

ω强凸平均强凸 w-强凸强凸问题强凸泛函强凸位置强凸象函数强凸模糊集 δ-强凸函数强凸（凹）函数 K-强凸空间可微强凸泛函几乎强凸函数三平面正交超声有机功能薄膜

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。

首页 \| 翻译 \| 影视 \| 论坛 \| 索引强凸函数 K强凸强凸子系 k-强凸近强凸强凸集

1) strong rotundity 强凸性 1. In this paper,using the properties of lp and the relation between lp and lp(Xi),we discuss strong rotundity,property(M)and property(S) of Banach sequence spaces lp(Xi),and give their criteria. 利用lp空间的性质及lp和lp(Xi)的关系,讨论了lp(Xi)的强凸性(、M)性质和(S)性质,给出了它们的充要条件。 2) 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。 3) k-strong convex k-强凸性 1. The notion of k-strong convexity respectively are introduced in [1] and [2],but the equivalence of notions is not proved,the notions is not uniform possibly,we explore the notions are equivalent. 文献[1]与[2]分别给出了两种形式的Banach空间k-强凸性的概念,但没有证明它们是等价的,因而可能出现概念不统一等情况,为此本文证明了这两种形式的概念是等价的。 4) generalized strongly convex 广义强凸性 5) strong-convexity for a preference preordering 偏好预序关系的强凸性 6) strong rotundity 强凸 1. In this paper, we discuss midpoint local uniform rotundity, weak local uniform rotundity and strong rotundity of Cesaro vector_valued sequence spaces cesp(Ek),and give their cirtieria. 讨论了Cesaro矢值序列空间cesp(Ek)的中点局部一致凸、弱局部一致凸和强凸性,给出了它们的判据。参考词条 ω强凸平均强凸 w-强凸强凸问题强凸泛函强凸位置强凸象函数强凸模糊集 δ-强凸函数强凸（凹）函数 K-强凸空间可微强凸泛函几乎强凸函数三平面正交超声有机功能薄膜补充资料：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。
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