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71.
In this paper, we study the representing and absolutely representing systems in the context of reproducing kernel Hilbert spaces. We prove in particular that, in many classical spaces including weighted Hardy and Dirichlet spaces and de Branges–Rovnyak spaces, there cannot exist absolutely representing systems of reproducing kernels. 相似文献
72.
该文得到齐型空间中分数次积分交换子[b,I_α]的加权端点估计ω({x∈X:|[b,I_α]f(x)|t})≤Cψ(∫_xA(||b||_*(|f(x)|/t)■(ω(x))dμ(x))其中b∈BMO(X,d,μ),A(t)=tlog(e+t),ψ(t)=[tlog(e+t~α)]~(1/(1-α)),■(t)=t~(1-α)log(e+t~(-α)). 相似文献
73.
74.
Z-连续格的函数空间 总被引:1,自引:1,他引:0
若 Z为并完备的子集系统 ,且 IZ( L)关于集合的包含关系构成完备格 ,则 :( 1 ) Z-连续格的函数空间仍为 Z-连续的 ;( 2 )对于 Z-连续格范畴 ZL ,定义了一函子 F:ZL× ZL→ ZL. 相似文献
75.
The normal distribution function is used as resolving factor and spline wavelet self‐convolution is used to resolve the overlapped peaks containing noise. The resolution of several kinds of overlapped peaks (SNR from 5 to 50) simulated by computer has been discussed in details. It is known that the overlapped peaks with noise can be separated (SNR > 50) directly and the noise is removed at the same time in time domain. Base‐line separation can be achieved. The relative errors of peak area and position are less than 5.0%. The satisfactory results are also obtained in resolving voltammetric overlapped signals by this method. 相似文献
76.
How to Get the Original Discrete Approximation for the Pyramid Algorithm of Multiresolution
Decomposition 总被引:2,自引:0,他引:2
§1.IntroductionInthispaper,weusethenotationsZ,R,L2(R)andl2forthesetofintegers,re-als,squareintegrablefunctionsandsquaresummab... 相似文献
77.
??Considering a parameter estimation and variable selection problem in logistic regression, we propose Smooth LASSO and Spline LASSO. When the variables is continuous, using Smooth LASSO can select local constant coefficient in each group. However, in some case, the coefficient might be different and change smoothly. Using Spline Lasso to estimate parameter is more appropriate. In this article, we prove the reliability of the model by theory. Finally using coordinate
descent algorithm to solve the model. Simulations show that the model works very effectively both in feature selection and prediction accuracy. 相似文献
78.
79.
S. Ushijima 《国际流体数值方法杂志》1994,19(8):647-665
This paper concerns a numerical prediction method for buoyancy-influenced flows using three-dimensional non-orthogonal curvilinear co-ordinates. The numerical analysis of the transformed governing equations for thermal hydraulics is based on a Lagrangian method, in which advected physical values are evaluated by local cubic spline interpolations with third-order accuracy in the three-dimensional computational domain. In addition, the buoyancy and diffusion terms are discretized in the Lagrangian scheme so as to have second-order accuracy with respect to time and space. The Neumann boundary conditions, which have been rather difficult for non-orthogonal co-ordinates to deal with, can be implemented by making use of normal vectors on the physical boundary surfaces and cubic spline interpolations. The developed numerical method is applied to the steady isothermal flow in a curved pipe and the unsteady stratified flow in a curved duct. Both of the predicted values are in good agreement with the experimental results and the validity of the prediction method is confirmed. 相似文献
80.