共查询到20条相似文献,搜索用时 125 毫秒
1.
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
2.
Baskakov算子加权逼近的收敛阶 总被引:14,自引:1,他引:14
本文讨论了Baskakov算子加Jacobi权逼近的收敛性,首先指出了按通常的加权范数,Baskakov算子是无界的。然后引入一种新的范数,在此范数下Baskakov算子具有压缩性,最后借助于K-泛函,我们着重讨论了它的特征刻划问题。 相似文献
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Lin Sen XIE Zhong Rui SHI 《数学学报(英文版)》2007,23(5):935-944
In this paper, we investigate the relation between the rate of convergence for the derivatives of the combinations of Baskakov operators and the smoothness for the derivatives of the functions approximated. We give some direct and inverse results on pointwise simultaneous approximation by the combinations of Baskakov operators. We also give a new equivalent result on pointwise approximation by these operators. 相似文献
5.
In this paper, we study the convergence rate of two-dimensional Baskakov oper-ators with Jacobi-weights and the approximation equivalence theorem is obtained, making use of multivariate decompose skills and results of one-dimensional Baskakov operators. 相似文献
6.
In this paper, we introduce a general modification of the classical Baskakov operators which do not need to preserve the test function x 2. Then, we study an approximation theorem, a Voronovskaya theorem, and various local approximation results for our modified Baskakov operators. 相似文献
7.
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
8.
Zoltán Finta 《分析论及其应用》2004,20(4):307-322
In this paper we establish direct local and global approximation theorems for Baskakov type operators and Szasz - Mirakjan type operators, respectively. 相似文献
9.
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
10.
研究了Baskakov和Szász-Mirakian型算子的线性组合的同时逼近问题,得到了Voronovskaja型的渐进展开公式以及误差估计. 相似文献
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The current article deals with the study of Baskakov–Szász–Mirakyan operators which reproduces constant and exponential functions. We discuss a uniform estimate and establish a quantitative result for the modified operators. 相似文献
13.
Jorge Bustamante Abisaí Carrillo-Zentella José M. Quesada 《Acta Mathematica Hungarica》2012,136(1-2):90-106
We present direct and strong converse theorems for a general sequence of positive linear operators satisfying some functional equations. The results can be applied to some extensions of Baskakov and Szász–Mirakyan operators. 相似文献
14.
某些多元线性正算子的加权逼近 总被引:6,自引:0,他引:6
本文首先给出了在Lp逼近意义下某些线性正算子加Jacobi权逼近时的特征定理,作为应用,我们给出了多元Baskakov型算子、多元Szasz-Mirakjan型算子和多元Beta算子加权逼近时的特征刻划. 相似文献
15.
Rani Yadav 《Annali dell'Universita di Ferrara》2012,58(1):217-227
In the year 1994, Gupta (Approx Theory Appl (N.S.) 10(3):74–78, 1994) introduced the integral modification of well known Baskakov operators with weights of Beta basis functions and obtained
better approximation over the usual Baskakov Durrmeyer operators. The rate of convergence for Bézier variant of these operators
for functions of bounded variations were discussed in Gupta (Int J Math Math Sci 32(8):471–479, 2002). The present paper is the extension of the previous work, here we consider the Bézier variant of Baskakov-Beta-Stancu operators.
We estimate the rate of convergence of these operators for the bounded functions. In the end of the paper we suggest an open
problem. 相似文献
16.
In the present paper, we obtain a sequence of positive linear operators which has a better rate of convergence than the Szász-Mirakian Durrmeyer and Baskakov Durrmeyer operators and their Voronovskaya type results. 相似文献
17.
Margareta Heilmann 《Results in Mathematics》2003,44(1-2):97-105
In this paper we consider a generalization of different variants of Durrmeyer- type modifications of Baskakov and Meyer- König and Zeller operators. We prove a general result concerning the commutativity of these operators with certain differential operators. Prom this result a Rodriguez- type formula for the eigenfunctions follows as a corollary. 相似文献
18.
P. N. Agrawal Vijay Gupta A. Sathish Kumar 《Rendiconti del Circolo Matematico di Palermo》2014,63(2):193-209
In the present paper, we study some approximation properties of the Durrmeyer type modification of generalized Baskakov operators introduced by Erencin (Appl Math Comput 218(3):4384–4390, 2011). First, we establish a Lorentz-type lemma for the derivatives of the kernel of the generalized Baskakov operators and then obtain a recurrence relation for the moments of their Durrmeyer type modification. Next, we discuss some direct results in simultaneous approximation by these operators e.g. pointwise convergence theorem, Voronovskaja-type theorem and an estimate of error in terms of the modulus of continuity. Finally, we estimate the error in the approximation of functions having derivatives of bounded variation. 相似文献
19.
The best asymptotic constant was established by Esseen for Bernstein operators. In this paper, we extend Esseen's result to a class of linear positive operators and as byproduct we obtain the best asymptotic constant for Szász, Baskakov, Gamma, and B-Spline operators. 相似文献
20.
The present paper deals with the study of a Durrmeyer-type integral modification of certain modified Baskakov operators. Here
we study simultaneous approximation properties for these operators by using the iterative combinations. We obtain an asymptotic
formula and an error estimation in terms of higher order modulus of continuity for these operators.
相似文献