正定自伴算子分数幂的泛函不等式

本文研究了super-Poincaré不等式在变换下的稳定性.利用自伴算子的谱分解性质,证明了当正定自伴算子L满足super-Poincaré不等式时,L的分数幂Lα也满足相应的super-Poincaré不等式,并讨论了相应半群的几种超有界性之间的关系.     

用无限阶Toeplitz矩阵求常系数微分方程的级数解

无限阶Toeplitz矩阵的属于0的特征向量可递推地求得,可表示常系数齐次微分方程的解.用它的逆可求得常系数非齐次微分方程的特解.     

鞅的p均方算子的Φ不等式

证明了鞅的p均方算子、p条件均方算子、p均方平削算子和p条件均方平削算子在qΦ≥p和pΦ≤p时鞅的一些Φ不等式,并讨论其中的不等式的系数的优良性.     

一类共振条件下的高阶p-Laplacian算子多点边值问题

主要讨论了下列n阶带p-Laplacian算子多点边值问题在共振条件下解的存在性.(Φp(x(n-1)))′+f(t,x,x′,…,x(n-2))=0,0相似文献   

一类Bernstein型算子线性组合加Jacobi权的逼近

给出了一类用广义杨辉三角阵定义的Bernstein型算子线性组合加Ja-cob i权的逼近在一致逼近意义下的特征刻划.     

一个积分不等式及其应用

给出了一个新的积分不等式及其应用.     

Sobolev空间中的几个不等式的推广

本文将Sobolev空间中的Clarkson不等式的几个引理作了适当的推广,并给出了证明.     

A Construction of Multiresolution Analysis on Interval

We present a concrete method of constructing multiresolution analysis on interval. The method generalizes the corresponding results of Cohen, Daubechies and Vial [Appl. Comput. Harmonic Anal., 1（1993）, 54-81]. By the use of the subdivision operator, the expressions of the constructed functions are more compact. Furthermore, the method reveals more clearly some properties of multiresolution analysis with certain approximation order.     

Convergence of BP Algorithm for Training MLP with Linear Output

The capability of multilayer perceptrons(MLPs)for approximating continuous functions with arbitrary accuracy has been demonstrated in the past decades.Back propagation(BP)algorithm is the most popular learning algorithm for training of MLPs.In this paper,a simple iteration formula is used to select the leaming rate for each cycle of training procedure,and a convergence result is presented for the BP algo- rithm for training MLP with a hidden layer and a linear output unit.The monotonicity of the error function is also guaranteed during the training iteration.     

A CRITERION OF ESSENTIALLY COMMUTING TOEPLITZ OPERATORS ON BERGMAN SPACE

1.IntroductionLetmdenotethevolumemeastireontheunitballUnormalizedtohavetotalmass1ofthen-dimensionalcomplexspaceC".TheBergmanspaceBP(U)(15p相似文献