AVERAGE σ-K WIDTH OF CONVOLUTION FUNCTION CLASS OF L_(pq) (R) IN L_q(R)

In this paper. we study the average n-K width of the convolution class B_(pq)(G)(or B_(?)(G)), forwhich the kernel G(x) is a PF density, in the metric L_q(R)(or L_(qp)(R)) for the case 1≤q相似文献   

L（IR）中卷积函数类在L2（IR）中的平均σ－K宽度

本文研究了Ｌ（ＩＲ）中的卷积函数类在Ｌ₂（ＩＲ）中的平均σ－Ｋ宽度且得到一些精确结果．同时，对非卷积情形，得到一些渐近结果．     

L（IR）中卷积函数类在L_2（IR）中的平均σ－K宽度

本文研究了Ｌ（ＩＲ）中的卷积函数类在Ｌ＿２（ＩＲ）中的平均σ－Ｋ宽度且得到一些精确结果．同时，对非卷积情形，得到一些渐近结果．     

PROBABILISTIC AND AVERAGE LINEAR WIDTHS OF SOBOLEV SPACE WITH GAUSSIAN MEASURE IN SPACE S_Q(T)(1≤Q≤∞)

Probabilistic linear(N,δ)-widths and p-average linear N-widths of Sobolev space W_2~τ(T),equipped with a Gaussian probability measure μ,are studied in the metric of S_q(T)(1 q oo),and determined the asymptotic equalities:and where 0p∞,δ∈(0,1/2],ρl,and Sq(T) is a subspace of L_1(T),in which the Fourier series is absolutely convergent in l_q sense.     

DENSENESS OF RADIAL-BASIS FUNCTIONS IN L^2（R^n） AND ITS APPLICATIONS IN NEURAL NETWORKS

The authors discuss problems of approximation to functions in L2(Rn) and operators fromL2(Rn1) to L2(Rn2) by Radial-Basis Functions. The results obtained solve the problem ofcapability of RBF neural networks, a basic problem in neural networks.     

具有常余维数2k+4不动点集的(Z2)k作用

本文通过构造上协边环MO_*的一组生成元决定了J_*,k^2k+4.     

Two Commuting Involutions Fixing RP1(2m + 1) S RP2(2m + 1)*

Let Z₂ denote a cyclic group of 2 order and Z₂² = Z₂ ×Z₂ the direct product of groups. Suppose that (M, Φ) is a closed and smooth manifold M with a smooth Z₂² -action whose fixed point set is the disjoint union of two real projective spaces with the same dimension. In this paper, the authors give a sufficient condition on the fixed data of the action for (M, Φ) bounding equivariantly.     

EXPLICIT CONSTRUCTION OF HARMONIC MAPS FROM R^2 TO U（N）

ＥＸＰＬＩＣＩＴＣＯＮＳＴＲＵＣＴＩＯＮＯＦＨＡＲＭＯＮＩＣＭＡＰＳＦＲＯＭＲ~２ＴＯＵ（Ｎ）￥ＧｕＣＨＡＯＨＡＯＨｕＨＥＳＨＥＮＧＡｂｓｔｒａｃｔ：Ｄａｒｂｏｕｘｔｒａｎｓｆｏｒｍａｔｉｏｎｍｅｔｈｏｄｉｓｕｓｅｄｆｏｒｃｏｎｓｔｒｕｃｔｉｎｇｈａ?..