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排序方式: 共有174条查询结果,搜索用时 96 毫秒
1.
本文研究单纯形上多元Stancu多项式与连续模之间的关系,证明了Stancu多项式具有保持连续模的性质,推广了一元Bernstein多项式的相应结果.同时,利用多元函数的Ditzian-Totik连续模估计Stancu多项式逼近多元连续函数速度的上界和下界,得到一个使得逼近速度为O(n-a)(0相似文献
2.
Approximation of signals from local averages 总被引:4,自引:0,他引:4
This work is concerned with approximation of a signal from local averages. It improves a result of Butzer and Lei [P.L. Butzer, J. Lei, Approximation of signals using measured sampled values and error analysis, Commun. Appl. Anal. 4 (2000) 245–255]. 相似文献
3.
关于Bernstein-Kantorovich算子的Steckin-Marchaud型不等式 总被引:4,自引:0,他引:4
§1. Introduction For the Bernstein PolynomialsBn(f,x)=∑nk=0nkxk(1-x)n-ffkn,(1.1)Ditzian[1] proved a pointwise approximation:Bn(f,x)-f(x)≤Cω2φλf,φ1-λ(x)n, 0≤λ≤1, φ(x)=x(1-x),(1.2)which unified the classical estimate for λ=0 and the norm estimate for λ=1. As the inverse result, Erich Van Wickeren[2] proved:ω2α(f,n-1/2)≤Mαn-1∑nk=1Bkf-fα.But, this is only a norm estimate (with ω2φ(f,t)), not inclusive of the classical estimate (with ω2(f,t)). For f∈C[0,1], the … 相似文献
4.
The rate of convergence of q-Bernstein polynomials for 总被引:3,自引:0,他引:3
In the note, we obtain the estimates for the rate of convergence for a sequence of q-Bernstein polynomials {Bn,q(f)} for 0<q<1 by the modulus of continuity of f, and the estimates are sharp with respect to the order for Lipschitz continuous functions. We also get the exact orders of convergence for a family of functions , and the orders do not depend on α, unlike the classical case. 相似文献
5.
On Converse Theorem of Best Approximation by Polynomials in Bergman Spaces H_q~p(p>0,q>1) 总被引:1,自引:0,他引:1
A Bernstein type theorem and a converse theorem of best approximation by polynomials inBergman spaces H_q~p(p>0,q>1) are proved.Some proofs and results in [1] are in proved. 相似文献
6.
Liu-quanSun 《应用数学学报(英文版)》2003,19(2):229-238
In this paper we consider a fixed design model in which the observations axe subject to left truncation and right censoring. A generalized product-limit estimator for the conditional distribution at a given covaxiate value is proposed, and an almost sure asymptotic representation of this estimator is established. We also obtain the rate of uniform consistency, weak convergence and a modulus of continuity for this estimator.Applications include trimmed mean and quantile function estimators. 相似文献
7.
本文在Bergman空间Bqp(p>0,q>1)中得到了关于用多项式本身的模控制其导函数的模的Bernstein型不等式. 相似文献
8.
9.
Jackson-type inequalities and widths of function classes in L
2 总被引:1,自引:0,他引:1
S. B. Vakarchuk 《Mathematical Notes》2006,80(1-2):11-18
The sharp Jackson-type inequalities obtained by Taikov in the space L 2 and containing the best approximation and the modulus of continuity of first order are generalized to moduli of continuity of kth order (k = 2, 3, ... ). We also obtain exact values of the n-widths of the function classes F(k, r, Φ) and F k r (h), which are a generalization of the classes F(1, r, Φ) and F k r (h) studied by Taikov. 相似文献
10.
Durrmeyer type modification of generalized Baskakov operators 总被引:1,自引:0,他引:1
Ay?egül Erençin 《Applied mathematics and computation》2011,218(8):4384-4390
In the present paper, Durrmeyer type modification of generalized Baskakov operators is introduced and some direct results are established for these operators. 相似文献