1) Functional modulus of continuity
泛函连续模
2) Lévy moduls of continuity
泛函Lévy连续模
1.
On the functional form of Lévy moduls of continuity for Brownian sheet in Hlder norm;
Brownian单在Hlder范数下的泛函Lévy连续模
3) continuous functional
连续泛函
1.
That is,first construct interpolation networks in general spaces,and then construct approximate interpolation networks,finally,study the approximation of continuous functional with approximating network.
本文研究一般距离空间中的神经网络插值与逼近问题,即先在距离空间中构造新的插值网络,然后在此基础上构造近似插值网络,最后研究近似插值网络对连续泛函的逼近。
2.
The completement and continuous functional of double sequence space Lpq are discussed.
讨论二重序列空间Lpq的完备性及连续泛
4) continuous glimm functional
连续 Glimm 泛函
5) quasi-continuous functional
拟连续泛函
6) continuous linear functional
连续线性泛函
1.
We give a sufficient & necessary condition for the Existence of non-trivial continuous linear functional on top-ological vector spaces, and show that there is no non-trivial continuous linear functional on any quasi-bounded topological vector space.
给出了拓扑线性空间上存在非零连续线性泛函的一个充要条件,并由此证明了在任意拟有界的拓扑线性空间上均不存在非零连续线性泛函。
2.
Under the necessary condition of an extremum of a continuous linear functional the least upper bound of Fourier coefficients of univalent harmonic mappings is obtained.
利用连续线性泛函取得极值的必要条件,得到关于单叶调和映射的傅立叶系数的上确界,推广了PeterDuren的研究方法。
3.
The necessary and sufficient condition for existing no non-zero continuous linear functional in spaces L ̄p(Ω,μ)(0<p<1)is there existing no atomic set in(Ω,μ).
空间L(Ω,μ)(0<p<1)上不存在非零连续线性泛函的充要条件是(Ω,μ)中不存在原子集合,2。
补充资料:连续泛函
连续泛函
continuous functional
连续泛函Icon6皿ous fu.比onai;谈网阵件..曰.切皿-”“口困‘】] 把拓扑空间X(它通常也是向量空间)映射到R或C中的连续算子(contm以)us opemtor)(连续映射(田ntit田璐讯apping)),因此,对于任意算子的连续性定义和准则对于泛函仍保持成立.例如, l)为使泛函f:M一C(其中M是拓扑空间X的子集)在点从,任M上连续,必须对于任何“>O,存在x()的邻域U‘使得}f(劝一f(苏))}<。对于x任U成_侧泛函的连续性定义); 2)在分离拓扑向量空间的紧集上连续的泛函在该集合上有界,且达到它的上、下确界(,几记巧姗“牢稗(Wele侣位巧5 lj袱〕n习刀)): 3)因为每个非零线性泛函把Banach空间X映射_,‘r、_阶以非芍一一_、一也崔
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