Pointwise Approximation for the Iterated Boolean Sums of Bernstein Operators

Pointwise Approximation for the Iterated Boolean Sums of Bernstein Operators

下载PDF

导出

摘要 In this paper, with the help of modulus of smoothness ω2r(f,t), we discuss the pointwise approximation properties for the iterated Boolean sums of Bernstein operator B n and obtain direct and inverse theorems when 1-1/r ≤λ≤ 1, r ∈N. In this paper, with the help of modulus of smoothness ωφ^2r（f,t）,, we discuss thepointwise approximation properties for the iterated Boolean sums of Bernstein operator B,~ 1and obtain direct and inverse theorems when 1-1/r≤λ≤1,r∈N.

作者 HUO Xiao-yan LI Cui-xiang YAO Qiu-mei

机构地区 Department of Mathematics College of Mathematics and Information Science Department of Mathematics

出处《Chinese Quarterly Journal of Mathematics》 CSCD 2013年第1期129-138,共10页 数学季刊（英文版）

基金 Supported by the NNSF of China(10771049)

关键词 Bernstein operators the iterated Boolean sums modulus of smoothness Bernstein operators the iterated Boolean sums modulus of smoothness

分类号 O174.41 [理学—基础数学]

引文网络
相关文献

参考文献2

1李翠香,张翠莲,何春江.左Bernstein逆插值算子的点态逼近性质[J].数学的实践与认识,2005,35(10):200-206. 被引量：1
2李翠香,任孟霞.Bernstein-Kantorovich算子的迭代布尔和的逼近性质[J].数学杂志,2007,27(1):105-110. 被引量：4

二级参考文献9

1Diallo A T. Rate of Convergence of Bernstein Quasi-interpolants[M]. ICTP preprint IC/95/295. Miramarc-Trieste. Ttaly. 1995.
2Mache P. Mache D H. Approximation by Bernstein quasi-interpolants[J]. Numer Funct Anal and Optimiz, 2001. 22(1.2): 159-175.
3Ditzian Z. Totik V. Moduli of Smoothness[M]. Springer-Verlag. New York. 1987.
4Guo S. et al. Pointwise approximation for linear combinations of Bernstein operators[J]. J Approx Theory, 2000. 107: 109-122.
5Guo S, et al. A pointwise approximation theorem for linear combinations of Bernstein polynomials[J]. Abstract and Applied Analysis, 1996, 1(4): 397-406.
6Ditzian Z.,Totik V..Moduli of Smoothness[M].New York:Springer-Verlag,1987.
7Gonska H.H.,Zhou Xinlong.Approximation theorems for the iterated Boolean sums of Bernstein operators[J].J.Computational and Applied Mathematics,1994,53(1):21-31.
8Devore R.A,Lorentz G.G..Constructive Approximation[M].Berlin Heidelberg:Berlin,Springer-Verlag,Heidelberg.1993.
9Zhou Dingxuan.A note on Bernstein type operators[J],Approx.Theory its Appl.,1992,8(1):97-100.

共引文献3

1贾小玲,李翠香,马习敏.Bernstein-Kantorovich算子的迭代布尔和在L_∞[0,1]中的逼近性质[J].西南大学学报（自然科学版）,2009,31(6):111-115.
2辛玉东,李翠香,王永杰.Baskakov算子迭代布尔和的逼近性质[J].河北师范大学学报（自然科学版）,2010,34(1):10-16.
3韩领兄,吴嘎日迪,高会双.Bernstein-Durrmeyer算子拟中插式在Orlicz空间中的逼近[J].数学杂志,2017,37(3):488-496. 被引量：2

1Xiru Yang,Chungou Zhang,Yingdian Ma.Approximation of Generalized Bernstein Operators[J].Analysis in Theory and Applications,2014,30(2):205-213.
2Meiling Wang,Dansheng Yu.On Weighted Approximation by Modified Bernstein Operators for Functions with Singularities[J].Analysis in Theory and Applications,2014,30(4):405-416.
3Laiyi Zhu,Lin Qiu.CONVERGENCE OF DERIVATIVES OF GENERALIZED BERNSTEIN OPERATORS[J].Analysis in Theory and Applications,2012,28(2):135-145.
4郭顺生,张更生,刘丽霞.Pointwise Approximation by Szàsz-Mirakjan Quasi-Interpolants[J].Journal of Mathematical Research and Exposition,2009,29(4):629-638.
5Baohuai Sheng.A WAY OF CONSTRUCTING TRANSLATION NETWORK OPERATORS BY BERNSTEIN OPERATORS[J].Analysis in Theory and Applications,2006,22(4):319-328.
6Michele Campiti(Polyechnic of Bari, Italy).GENERAL BINOMIAL-TYPE COEFFICIENTSIN THE SEQUENCE OF BERNSTEIN OPERATORS[J].Analysis in Theory and Applications,1999,15(1):92-102.
7Lin Sen XIE.Pointwise Approximation Theorems for Combinations and Derivatives of Bernstein Polynomials[J].Acta Mathematica Sinica,English Series,2005,21(5):1241-1248.
8冯国.Szdász型算子线性组合点态逼近的特征刻画[J].Chinese Quarterly Journal of Mathematics,2004,19(4):379-384.
9Bao-rong WEI,Yi ZHAO.Weighted approximation of functions with singularities by Bernstein operators[J].Journal of Zhejiang University-Science A(Applied Physics & Engineering),2008,9(10):1451-1456. 被引量：8
10Laiyi Zhu,Xiaojie Zhu,Xing Liu.WEIGHTED APPROXIMATION OF r-MONOTONE FUNCTIONS ON THE REAL LINE BY BERNSTEIN OPERATORS[J].Analysis in Theory and Applications,2011,27(3):239-250.

Chinese Quarterly Journal of Mathematics

2013年第1期

浏览历史

内容加载中请稍等...

Pointwise Approximation for the Iterated Boolean Sums of Bernstein Operators

参考文献2

二级参考文献9

共引文献3

相关作者

相关机构

相关主题

浏览历史