排序方式: 共有17条查询结果,搜索用时 0 毫秒
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设G是B核,记用dn,dn和δn分别表示Kolmogorov,Gel''fand和线性n宽度。本文求出了和的精确值,找到了各自的极子空间(或最优算子)。由此证明了Pinkus猜想(即是的极子空间,)在p=q时的正确性。 相似文献
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对于r阶导数的连续模被一个给定上凸连续模新控制的所有r阶可微函数类,我们求出在loo(R)一范数下其平均n-宽度,并找到了极优子空间。 相似文献
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Starting with an initial vector λ = (λ(κ))κ∈z ∈ ep(Z), the subdivision scheme generates asequence (Snaλ)∞n=1 of vectors by the subdivision operator Saλ(κ) = ∑λ(j)a(k - 2j), k ∈ Z. j∈zSubdivision schemes play an important role in computer graphics and wavelet analysis. It is very interesting tounderstand under what conditions the sequence (Snaλ)∞n=1 converges to an Lp-function in an appropriate sense.This problem has been studied extensively. In this paper we show that the subdivision scheme converges forany initial vector in ep(Z) provided that it does for one nonzero vector in that space. Moreover, if the integertranslates of the refinable function are stable, the smoothness of the limit function corresponding to the vectorλ is also independent of λ. 相似文献
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对于r阶导数的连续模被一个给定上凸连续模新控制的所有r阶可微函数类,我们求出在L∞(R)一范数下其平均n-宽度,并找到了极优子空间。 相似文献
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Chen Dirong 《数学年刊B辑(英文版)》1992,13(4):396-405
The author obtains the excat values of the average n-K widths for some Sobolev classes defined by an ordinary differential operator $\[P(D) = \prod\limits_{i = 1}^r {D - {t_i}I),{t_i} \in R} \]$,in the metric L_p(R),$1\leq p\leq \infty$,and identifies some optimal subspaces.Furthermore,the optimal interpolation problem for these Sobolev classes is considered by sampling the function values at some countable sets of points distributed reasonably on R,and some exact results are obtained. 相似文献
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级联算法在计算机图形和小波分析中都有很重要的作用.对任意的初始函数φ0,一个级联序列(φ_n)_(n=1)~∞是由迭代产生的序列φ_n=C_aφ_(n-1)(n=1,2,…),其中 C_a 定义为C_ag=sum from α∈Ζa(α)g(2·-α),g∈L_p(R).用函数序列和联合谱半径刻画了级联序列的收敛性.作为一个结果,证明了任意的级联收敛序列都有几何收敛速度,即‖φ_(n-1)-φ_n‖_[L_p(R)]=O((?)~n)对某个(?)∈(0,1)成立.不要求对面具的求和定则的条件. 相似文献
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陈迪荣 《数学年刊B辑(英文版)》1992,(4)
The author obtains the exact values of the average n-K widths for some Sobolev classes defined by an ordinary differential operator P(D)=multiply from i=1 to r(D-t_il), t_i∈R, in the metric L_(R), 1≤p≤∞, and identifies some optimal subspaces. Furthermore, the optimal interpolation problem for these Sobolev classes is considered by sampling the function values at some countable sets of points distributed reasonably on R, and some exact results are obtained. 相似文献