共查询到19条相似文献,搜索用时 78 毫秒
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对Bernstein-Fan算子进行推广,并在此基础上进一步探讨其一致收敛性以及导数与连续模之间的关系。 相似文献
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求了用Jackson算子Jn(f.,x)逼近函数f(x)(∈C2n)时关于二阶连续模的最佳逼近常数:及用阶数不超过n的三角多项式H对连续函数f(x)的最佳逼近En(f),的上界估计: 相似文献
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关于函数及其导数用Bernstein-Durrmeyer算子的同时逼近 总被引:1,自引:0,他引:1
本文利用点态连续模研究了Bernstein-Durrmeyer算子的同时逼近,推广了关于有界变差函数和连续函数的结果. 相似文献
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给出一种构造带参数的左连续三角模的新方法,由此得到7种新的左连续三角模族及其伴随蕴涵算子族.证明其伴随蕴涵算子均满足正则性. 相似文献
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借助于r阶光滑模ωφ^r(f,t)φ是一般的步权函数,给出了Bernstein算子导数与函数高阶光滑性之间的等价关系。 相似文献
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本文研究了具有三角形波基函数的Bernstein-Fan值算子的收敛定理和逼近阶估计,并给出了它的算法程序。 相似文献
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从阿基米德型t-范定义的剩余型蕴涵算子是连续的蕴涵算子出发,研究关于左连续的蕴涵算子Ro和Godel蕴涵算子心'的连续逼近问题,从而进一步为模糊推理寻求理论基础。 相似文献
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导算子连续和一致连续的充要条件 总被引:1,自引:0,他引:1
专著[1]论及导算子连续和一致连续的充要条件,给出过于下的定理。 设T_r={x|‖x-x_o‖0)有界.(见[1]36面定理3.8) 本文改进了以上结果。 相似文献
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取插值基函数Pnk(x,α),导出推广的Bernstein算子Bn(α)(f,x)和推广的Bernstein-Kantorovich算子Kn(α)(f,x),并证明其收敛性. 相似文献
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Sofiya Ostrovska 《Mathematical Methods in the Applied Sciences》2009,32(15):1964-1970
The limit q‐Bernstein operator Bq emerges naturally as an analogue to the Szász–Mirakyan operator related to the Euler distribution. Alternatively, Bq comes out as a limit for a sequence of q‐Bernstein polynomials in the case 0<q<1. Lately, different properties of the limit q‐Bernstein operator and its iterates have been studied by a number of authors. In particular, it has been shown that Bq is a positive shape‐preserving linear operator on C[0, 1] with ∥Bq∥=1, which possesses the following remarkable property: in general, it improves the analytic properties of a function. In this paper, new results on the properties of the image of Bq are presented. Copyright © 2009 John Wiley & Sons, Ltd. 相似文献
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Ioan Gavrea 《Journal of Computational Analysis and Applications》2001,3(3):249-257
We investigate the global smoothness preservation by Bernstein operators measured by second-order modulus of smoothness and give a partial answer for a conjecture raised by H. H. Gonska in 1998. 相似文献
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In this article, both the eigenvectors and the eigenvalues of the q‐Bernstein operators have been studied. Explicit formulae are presented for the eigenvectors, whose limit behavior is determined both in the case 0 < q < 1 and in the case q > 1. Because the classical case, where q = 1, was investigated exhaustively by S. Cooper and S. Waldron back in 2000, the present article also discusses the related similarities and distinctions with the results in the classical case. Copyright © 2013 John Wiley & Sons, Ltd. 相似文献
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Bolesaw Szafnicki 《Journal of Computational and Applied Mathematics》2005,180(2):52-459
The polynomials determined in the Bernstein (Bézier) basis enjoy considerable popularity in computer-aided design (CAD) applications. The common situation in these applications is, that polynomials given in the basis of degree n have to be represented in the basis of higher degree. The corresponding transformation algorithms are called algorithms for degree elevation of Bernstein polynomial representations. These algorithms are only then of practical importance if they do not require the ill-conditioned conversion between the Bernstein and the power basis. We discuss all the algorithms of this kind known in the literature and compare them to the new ones we establish. Some among the latter are better conditioned and not more expensive than the currently used ones. All these algorithms can be applied componentwise to vector-valued polynomial Bézier representations of curves or surfaces. 相似文献
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§ 1 . Introduction Itisaveryimportantstudytoapproximatenonboundedcontinuousfunctionsdefinedonalargerange.Aneffectivemethodcalledthemethodofmultiplierenlargementhasbeenputfor wardandgreatlydevelopedbyHSULCandWANGReng Hong [1— 3].Thesecondauthorofthispaperinparticularhasprovedin [2 ]almostuniformlythatanynonboundedcontinuousfunctionsdefinedonawholerealaxiscanbeapproximatedbypolynomialoperators.We’llgen eralizeinthispaperthebasicprincipleofthismethod,andasanexample,Bernsteinpolynomial… 相似文献
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该文研究Bernstein多项式的绝对收敛性.证明了,对每个x∈[0,1],一个有界变差函数的Bernstein多项式序列是绝对|C,1|可和的,而且给出了Berstein多项式序列的绝对|C,1|和式的余项的估计. 相似文献