, Meanwhile, we prove that this new element also has the anisotropic interpolation property for H2 (), and obtain the interpolation error of seminorm on H2(). 同时,我们证明了它对于H~2(Ω)也具有各向异性插值特征,并给出了H~2(Ω)半模的插值误差估计。
Note on relation of seminorm and norm in vector space 关于向量空间上范数与半范数关系的一个注记
In this paper, several properties of seminorm on Sobolev space and its relation to some quotient norm are studied and the new results are obtained. 本文研究索伯列夫空间半范数的某些性质及其与某类商范数的关系,得到了一些新结果。
The Risk Measures Based on Seminorm 基于半范数的风险测度
A function is introduced by Lebesgue's integral, and the criteria are given for the continuity of this function, and it is proved that this function is the continuous seminorm in Sobolev space. 在Sobolev空间中利用Lebesgue积分引入了一种函数,给出了该函数连续的条件,证明了该函数是Sobolev空间上的连续半范。
The seminorm family P and its every S-simplest form generate the same locally convex separated topology on X are proved. 引入半范数族P的S-最简形式和P-自反局部凸空间(X,TP)的概念,证明了半范数族P和它的每一个S-最简形式都生成X上相同的局部凸拓扑。
This paper gives the conceptions of consistency, convergence, stability, seminorm of an operator of the nonlinear difference approximation and the Lax's equivalence theorem to the non-linear case. 提出了附属于非线性算子A的半范数A及微分方程式的广义解算子E的概念与性质,并引入非线性差分逼近的相容性、收敛性、稳定性概念。
A Theorem Showing the Relation between seminorm and Local convex Space 反映半范数族与局部凸空间关系的一个定理
Seminorm of Sobolev Space 索伯列夫空间的半范数
It gives a new seminorm to solve the problem in motivating transient signals robust H ∞ control to persistent signals. The problem is, that the signal space defined with A seminorm is not a liner space. 通过引入新的范数解决了瞬时信号鲁棒H∞控制理论向持续信号鲁棒H∞控制推广过程中A半范定义的信号空间是非线性空间问题。