局部有界函数

词组短语

locally bounded function

与局部有界函数相关的网络例句 [注：此内容来源于网络，仅供参考]

First we give the characterization of subsets on which every real-valued convex function bounded above is continuous on the space, and give the βperturbed optimization in Banach space by introducing new locally convex topology.

给出了广义实值凸函数在集合A上有上界则连续的一类子集的特征性刻画；并且通过引入新的局部凸拓扑的方法，给出任意Banach空间的β扰动优化。

First we give the characterization of subsets on which every real-valued convex function bounded above is continuous on the space, and give the fi-perturbed optimization in Banach space by introducing new locally convex topology.

给出了广义实值凸函数在集合A上有上界则连续的一类子集的特征性刻画；并且通过引入新的局部凸拓扑的方法，给出任意Banach空间的β扰动优化。

Suppose that f is a real-valued ω〓-lower semicontinuous function defined on a ω〓closed bounded subset A〓 of the dual E〓 of a locally convex space E, which is bounded below on A〓, and suppose every ω〓 closed convex subset of C〓≡ω〓-clcoA〓 is the ω〓closed convex hull of its w〓-β-exposed points.

假设X是一个局部凸空间，X〓是其对偶。A〓是X〓上的ω〓有界闭子集，f是A〓上的ω〓-下半连续实值函数且在A〓上下有界。

In this paper, we present a nonmonotone line search model algorithm for the nonsmooth composite minimization problems minhf(x, where each f: Rn→Rn is a locally Lipschitzian function, and h: Rn→R is a continuously differentiable convex function.

1引言考虑下面的复合极小化问题minF=hf(x，(1 。1)二〔丫其中f：R"一R"是局部Lipschitz函数，h：Rn一R是下有界的连续可微的凸函数。对于问题(l 。1)，QIL、袁亚湘和孙文瑜等z1一

Applying the convexification of nonconvex function and the theorem in Chapter 2, we establish the perturbed optimization in the bounded subsets of the dual of locally convex spaces

运用非凸函数凸化的方法以及第二章给出的命题，在局部凸空间的对偶空间的有界子集上建立相应的的扰动优化和变分原理

By employing the local Lipschitz condition and Picard sequence, the local existence-uniqueness of solutions of stochastic functional differential equations of Ito-type is firstly obtained. Furthermore, a continuation theorem for stochastic functional differential equations of Ito-type is given by using stochastic analysis technique and the quasi-boundedness condition. Finally, by establishing some delay differential inequalities and using properties of H_m-functions, a stochastic version of Wintner theorem and the global existence-uniqueness of solutions of stochastic functional differential equations of Ito-type are given. The results generalize the earlier publications.

首先，利用局部Lipschitz条件和Picard序列，获得了伊藤随机泛函微分方程解的局部存在唯一性；其次，利用随机分析技巧和拟有界条件，建立了伊藤随机泛函微分方程解的延拓定理；最后，通过建立一些时滞微分不等式和利用H_m-函数的特性，得到了Wintner定理的随机版本和伊藤随机泛函微分方程解的全局存在唯一性，推广了已有的一些结果。

The rate of convergence of pointwise approximation for local bounded functions are obtained.

引入一种积分型的 Szász- Bézier算子，并研究其逼近性质，得到了此类算子对局部有界函数的逼近阶估计公

In Section four, Karsli introduces a new kind of Gamma operators and obtains an estimate of the rate of pointwise convergence of these new kind Gamma operators for functions with derivatives of boundde variation.

本论文将利用概率的方法和一些已有的不等式考虑新Gamma型算子对局部有界函数点态逼近速度的估计。

An Ellipsoidal Basis Function can make the partition of input space and make a limitary and bounded.

椭球基函数（Ellipsoidal Basis Function，EBF）使网络划分输入空间成为封闭有界的局部作用的空间，与径向基函数（Radial Basis Function，RBF）神经网络的高斯函数相比，它对空间的划分更明确。

与局部有界函数相关的网络解释 [注：此内容来源于网络，仅供参考]

locally arcwise connected space：局部弧连通空间

locally analytic function 局部解析函数 | locally arcwise connected space 局部弧连通空间 | locally bounded function 局部有界函数

locally bounded function：局部有界函数

locally arcwise connected space 局部弧连通空间 | locally bounded function 局部有界函数 | locally closed set 局部闭集

locally hounded：局部有界的

locally finite open covering || 局部有限开覆盖 | locally hounded || 局部有界的 | locally integrable function || 局部可积函数