共查询到20条相似文献,搜索用时 15 毫秒
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Vishnu Narayan Mishra Prashantkumar Patel Lakshmi Narayan Mishra 《Numerical Functional Analysis & Optimization》2013,34(12):1265-1277
AbstractIn the present paper, we discuss the approximation properties of Durrmeyer-Stancu type variant of Jain operators with the modified forms of the Beta basis functions. We establish some direct results, which include the asymptotic formula, the error estimation in terms of the modulus of continuity and weighted approximation. Also, we construct a King modification of these operators which preserves the test functions e0 and e1. 相似文献
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Ibrahim Büyükyazıcı Honey Sharma 《Numerical Functional Analysis & Optimization》2013,34(12):1351-1371
This article deals with the Durrmeyer-type generalization of the q-Bernstein-Chlodowsky operators on a rectangular domain (which were introduced by Büyükyaz?c? [2]). We obtain the Korovkin-type approximation properties and the rates of convergence of this generalization using the means of the modulus of continuity and using the K-functional of Peetre. Further, we establish the weighted approximation properties for these operators. 相似文献
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In the present paper we introduce the q analogue of the Baskakov Beta operators.We establish some direct results in the polynomial weighted space of continuous functions defined on the interval [0,∞) .Then we obtain point-wise estimate,using the Lipschitz type maximal function. 相似文献
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Baskakov型算子加权逼近下的Stechkin-Marchaud不等式 总被引:3,自引:0,他引:3
本文利用K-泛函与光滑模的等价性,研究了Baskakov型算子加Jacobi权逼近下的Stechkin-Marchaud不等式,并得到了Baskakov型算子关于ωφ2(f,t)ω的逆结果. 相似文献
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本文主要给出了一类Bernstein-Durrmeyer算子的线性组合在Lp逼近意义下加Jacobi权逼近时的特征刻划. 相似文献
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关于多元Baskakov算子的加权逼近 总被引:1,自引:0,他引:1
本文首先指出一类多元Baskakov算子在通常的加权范数下是无界的.然后给出了一类新的加权范数,在此范数下它是压缩的.最后利用多元分解技巧,解决了多元Baskakov算子加权逼近的特征刻划文问题. 相似文献
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构造了一类一致收敛于被逼近函数的多元序列,以此序列为基础,运用多元函数的全连续模及部分连续模来刻画这种多元推广的Bernstein算子的逼近性质,不仅得出了理论逼近结果,而且给出了数值逼近的例子. 相似文献
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Della Vecchia et al. (see [2]) introduced a kind of modified Bernstein operators which can be used to approximate functions with singularities at endpoints on [0,1]. In the present paper, we obtain a kind of pointwise Stechkin-type inequalities for weighted approximation by the modified Bemsetin operators. 相似文献
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研究Bernstein-Sikkema算子的逼近问题,得到强型正定理和弱型逆定理,改进了文献[1]的结果 相似文献
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给出了Bernstein-Kantorovich算子的导数和光滑模之间的关系及它们的线性组合的逼近等价定理. 相似文献
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Qing-Bo Cai 《数学研究》2014,47(4):388-395
In this paper, a generalization of $q$-Gamma operators based on the concept
of $q$-integer is introduced. We investigate the moments and central moments of the
operators by computation, obtain a local approximation theorem and get the pointwise
convergence rate theorem and also obtain a weighted approximation theorem. Finally,
a Voronovskaya type asymptotic formula was given. 相似文献
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在[1]中构造了一系列一元及多元线性算子,其中包括二元Baskakov算子,本文讨论该算子在C空间的逼近性质. 相似文献
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M. Mursaleen Faisal Khan Asif Khan 《Numerical Functional Analysis & Optimization》2013,34(9):1178-1197
The purpose of this article is to give a generalization of q-Bernstein-Kantorovich operators. We present some approximation theorems. We compute the rate of convergence and error estimation of these operators by means of the modulus of continuity. Furthermore, we give some numerical examples to show comparisons in illustrative graphics for the convergence of these operators to various functions. 相似文献
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插值算子逼近是逼近论中一个非常有趣的问题,尤其是以一些特殊的点为结点的插值算子的逼近问题很受人们的关注.研究了以第一类Chebyshev多项式零点为插值结点的Hermite插值算子在Orlicz范数下的逼近. 相似文献
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The Approximation Properties of Certain Interpolation Operators of Entire Exponential Type(1) 总被引:1,自引:0,他引:1
In this paper, the authers introduce certain entire exponential type interpolation operatots and study the convergence problem of these operatots in c(R) or Lp(R) (1≤p<∞) 相似文献