共查询到19条相似文献,搜索用时 93 毫秒
1.
本文研究了在Besov空间中,(0,ml,…,mq)整插值算子的逼近和饱和问题,确定了逼近的饱和类与饱和阶. 相似文献
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本文研究了在Besov空间中 ,(0 ,m1,… ,mq)整插值算子的逼近和饱和问题 ,确定了逼近的饱和类与饱和阶 相似文献
3.
本文研究了在Besov空间中,(0,m1,…,mq)整插值算子的逼近和饱和问题,确定了逼近的饱和类与饱和阶。 相似文献
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讨论了单位圆域上Bcasel级数的Fejer和的—致逼近.给出了它的饱和阶和饱和类. 相似文献
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研究了一类等距结点上的2-周期整(m1,…,mp;m1′,…,mq′)插值算子的逼近性质,通过引入辅助算子得到了该插值算子在Lp(R)(1≤p<∞)空间的饱和阶与饱和类. 相似文献
8.
丁春梅 《数学年刊A辑(中文版)》2006,(1)
本文研究定义在单纯形上的多元Kantorovich算子逼近的正逆不等式与饱和定理,给出该算子在Lp(1≤p≤∞)空间的最优逼近类,即利用K-泛函的特征刻画分别满足‖Knf-f‖p=O(n-1) 与‖Knf-f‖p=o(n-1)的函数类. 相似文献
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本文研究定义在单纯形上的多元Kantorovich算子逼近的正逆不等式与饱和定理,给出该算子在Lp(1≤p≤∞)空间的最优逼近类,即利用K-泛函的特征刻画分别满足‖Knf-f‖p=O(n-1)与‖Knf-f‖p=o(n-1)的函数类. 相似文献
10.
Stancu-Kantorovich算子在Ba空间的逼近 总被引:5,自引:0,他引:5
讨论Stancu-Kantorovich算子在Ba空间中的逼近阶与饱和性质,得到了逼所阶的一种估计与饱和性定理。 相似文献
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研究Bernstein-Durrmeyer多项式的加权逼近并建立其饱和定理. 相似文献
12.
Li Jiangbo 《分析论及其应用》2004,(3)
The "o" saturation theorem and the degree of Lwp, approximation by (0 - q' - q) type Hermite-Fejer interpolating polynomials for mean convergence are obtained. 相似文献
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We state a result about the local saturation of sequences of linear operators that preserve the sign of the k-th derivative of the functions. We apply it to the well known approximation operators of Bernstein, Szász–Mirakjan, Meyer–König and Zeller, and Bleimann, Butzer and Hahn. 相似文献
14.
The "o" saturation theorem and the degree of Lpw approximation by (0- q' -q) type Hermite-Fejer interpolating polynomials for mean convergence are obtained. 相似文献
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定义单纯形上高维Stancu算子的Boolean和迭代算子并且研究它逼近连续函数的正定理、逆定理与饱和定理,得到了较高的逼近阶. 相似文献
16.
The “o” saturation theorem and the degree of Lp
w approximation by (0−q′−q) type Hermite-Fejér interpolating polynomials for mean convergence are obtained.
This work is supported by the Doctor Foundation (No:02J20102-06) and the Post Doctor Foundation of Ningbo University. 相似文献
17.
H. Bavinck 《Applicable analysis》2013,92(4):293-312
This paper deals with the approximation theoretic aspects of summation methods for expansions in terms of Jacobi polynomials. When a funcation f is expanded in a Fourier-Jacobi series, many summation methods for this series may be looked upon as approximation processes for the function f. The main object of this paper is to investigate the order of approximation of these processes and to characterize the functions which allow a certain order of approximation. Many of these processes exhibit the phenomenon of saturation, which is equivalent to the existence of an optimal order of approximation (the saturation, which is equivalent to the existence of an optimal order of approximation (the saturation order). For the approximation processes treated in this paper the saturation order and the saturation class, that is the class if functions which can be approximated with the optimal order, are derived. The characterization of the classes of functions is accomplished by means of the theory of intermediate spaces due to Peetre[19] (compare Butzer and Berens [7]). Another basic tool in this work is the convolution structure for Jacobi series, introduced by Askey and Wainger [1] (see also Gasper [14], {15}) 相似文献
18.
In the present paper, we give the explicit formula of the principal part of ∑k=0^n({k}q-[n]qx)^sxk ∏m=0^n-k-1(1-q^mx) with respect to [n]q for any integer s and q ∈ (0, 1]. And, using the expressions, we obtain saturation theorems for Bn (f , qn,x) approximating to f(x) ∈ C[O, 1], 0 〈 qn ≤ 1, qn → 1. 相似文献
19.
Parameter estimation for two-dimensional point pattern data is difficult, because most of the available stochastic models
have intractable likelihoods which usually depend on an unknown scaling factor. However, this problem can be bypassed using
the pseudo-likelihood estimation method. Baddeley and Turner (1998) presented a numerical algorithm for computing approximated
maximum pseudo-likelihood estimates for Gibbs point processes with exponential family likelihoods. We use their method and
a new technique based on Voronoi polygons to evaluate the qua-drature points to present an intensive comparative simulation
study which evaluates the performance of these two methods compared to the traditional approximation under varying circumstances.
Two Gibbs point process models, the Strauss and saturation processes, have been used.
This revised version was published online in June 2006 with corrections to the Cover Date. 相似文献