uniformly convex 英[ju:nɪfɔ:mlɪ ˈkɔnˌveks] 美[junəˈfɔrmlɪ ˈkɑnˌvɛks] 释义 一致凸的
首先给出凸函数的定义 定义2.16(凸函数) 设函数 f 为适当函数,如果 \operatorname{dom}f 是凸集,且 f(\theta x+(1-\theta)y)\le \theta f(x)+(1-\theta)f(y) 对所有 x,y \in \operatorname{dom} f,~0\le \theta\…
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The normed space X itself is called “uniformly convex” in this case. It should be noted, however, that uniform convexity is a property of the norm−X may have another equivalent norm that is not uniformly convex. Any normable space is called uniformly convex if it possesses a uniformly...
We propose a natural definition of what it means in a constructive context for a Banach space to be reflexive, and then prove a constructive counterpart of the Milman-Pettis theorem that uniformly convex Banach spaces are reflexive.doi:10.1002/malq.201200093...
convex a. 1.(外形或表面)凸出的;凸面的 Space n. 空白,间隔 vt. 隔开,分隔 vi. 留间隔 n. 空白,位置,空间,距离,太空 uniformly spaced 等间隔,等间距 space n. 1.[U]空间 2.[U,C]距离,间隔 3.[U]太空 v. 1.[I]留间隔 2.[T]隔开 convexo convex a. 双凸面的 convex concave 凸...
2. Uniformly convex spaces Let B denote a Banach space, with elements x, y, ? ? ? . We denote the norm of an element x by ||x||. Definition each e, 0<€^2, 1. yl Banach space B will be said to be uniformly convex if to there corresponds a 5(e) >0 such that the ...
(redirected fromUniformly convex Banach space) [¦yü·nə‚fȯrm·lē ¦kän‚veks ′spās] (mathematics) A normed vector space such that for any number ε > 0 there is a number δ > 0 such that, for any two vectorsxandy, if │x│ ≤ 1 + δ, │y│ ≤ 1 + δ, ...
{K}$ is the simplex or an $\ell_p$ ball with $p\in]1,2]$ [BCY]. When the action set is $q$-uniformly convex (with $q\geq 2$) but not necessarily strongly convex, we obtain pseudo-regret bounds of the form $\mathcal{O}(n^{1/q}T^{1/p})$ (with $1/p+1/q=1$), ...
1) uniformly convex dual 一致凸对偶 1. In this paper, we discuss the iterative solution of the equation f=x+Tx for an accreative oper-ator T in Banach spaces with auniformly convex dual, generalize and improve Chidume and Zhu s results. ...