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《Journal of Tianjin Normal University(Natural Science Edition)》 2014-01
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Average errors for Lagrange quadrature formula on r-fold integrated Wiener space

MEI Chuanfa;College of Mathematical Science,Tianjin Normal University;  
A kind of Lagrange quadrature formula is constructed,and a kind of estimation for its average errors on the rfold integrated Wiener space is obtained. The result shows that this Lagrange quadrature formula are universal operators with high accuracy for functions with different smoothness simultaneously.
【CateGory Index】: O172.2
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【Citations】
Chinese Journal Full-text Database 4 Hits
1 XU GuiQiao;The simultaneous approximation average errors for interpolation polynomials on the 1-fold integrated Wiener space[J];Scientia Sinica(Mathematica);2011-05
2 Gui Qiao XU Yang LIU College of Mathematics,Tianjin Normal University,Tianjin 300387,P.R.China;The Average Errors for Quasi-Hermite Interpolation on the 1-fold Integrated Wiener Space[J];Acta Mathematica Sinica;2013-03
3 DU Yingfanga,LIU Yangb(a.College of Life Science,b.College of Mathematical Science,Tianjin Normal University,Tianjin 300387,China);Average errors for composite trapezoidal formula on r-fold integrated Wiener space[J];Journal of Tianjin Normal University(Natural Science Edition);2013-03
4 WANG Ru;XU Guiqiao;College of Mathematical Science,Tianjin Normal University;;Average errors for composite Simpson formula on r-fold integrated Wiener space[J];Journal of Tianjin Normal University(Natural Science Edition);2013-04
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 Wang Xin,Xia Ying (College of Mathematics Science,Tianjin Normal University,Tianjin 300087,China);Necessary and Sufficient Condition for the Convergence of Linear Sum Operators of Fourier Series[J];Journal of Baoding University;2010-03
2 Wang Xin, Cui Ran (Department of Mathematics and Computer,Baoding University, Baoding 071000,China; Department of Mathematics and Physics, Medial College of Chinese People’s Armed·Ploce Force, Tianjin 300162, China);The Derivative Approximation of Interpolation Operators[J];Journal of Baoding University;2011-03
3 YUAN An-feng,XING Chun-feng(Basic Courses Department of Beijing Union University,Beijing 100101,China);The Estimation of the Lagrange Interpolation Basic Polynomial on the Nodes[J];Journal of Beijing Union University(Natural Sciences);2008-02
4 TANG Xiu-juan(Department of Basic Couses,Public Security and Marine Police Academy, Academic Training College,Ningbo 315801,Zhejiang,China);Approximation of bounded variation functions by Müntz rational functions[J];Journal of Baoji College of Arts and Science(Natural Science Edition);2004-03
5 WANG Xiao-bin (Coll. Math. & Phys.,Zhejiang Normal Univ.,Jinhua 321004,Zhejiang,China);Approximation by bivariate Bernstein-Kantorovech operators in Orlicz spaces[J];Journal of Baoji College of Arts and Science(Natural Science Edition);2005-02
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7 JIN Yu(Department of Mathematics,Ningxia Teachers University,Guyuan 756000,Ningxia,China);Modification of even trigonometric interpolation polynomial[J];Journal of Baoji University of Arts and Sciences(Natural Science Edition);2010-04
8 Bao Yongguang (Hangzhou University, China);ON SIMULTANEOUS APPROXIMATION TO A DIFFERENTIABLE FUNCTION AND ITS DERIVATIVE BY INVERSE PAL-TYPE INTERPOLATION POLYNOMIALS[J];分析,理论与应用(英文版);1995-04
9 Pankaj Mathur (Lucknow University, Lucknow);(0,1;0)-INTERPOLATION ON INFINITE INTERVAL(-∞,+∞)[J];分析,理论与应用(英文版);2006-02
10 ZHOU Zhi-ming1,SUN Wei-bin2(School of Mathematics and Computer Science,Ningxia University,Yinchuan 750021,China);Approximation Order for Theoperator in Space[J];Journal of Chongqing Institute of Technology(Natural Science Edition);2007-11
【Secondary Citations】
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1 Gui Qiao XU Department of Mathematics,Tianjin Normal University,Tianjin 300387,P.R.China;The Average Errors for Lagrange Interpolation on the Wiener Space[J];数学学报(英文版);2012-08
2 XU GuiQiao 1,* & DU YingFang 21 School of Mathematical Science, Tianjin Normal University, Tianjin 300387, China; 2 College of Chemistry and Life Science, Tianjin Normal University, Tianjin 300387, China;The average errors for Hermite-Fejr interpolation on the Wiener space[J];中国科学:数学(英文版);2010-07
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8 ZHANG Zheng1,CUI Ran2,XU Gui-qiao1 1.College of Mathematical Science,Tianjin Normal University,Tianjin 300387,China; 2.Department of Basic Courses,Logistics University of CAPF,Tianjin 300162,China;Average errors for Lagrange interpolation on Wiener space[J];Journal of Tianjin Normal University(Natural Science Edition);2012-01
9 DU Yingfang(College of Chemistry and Life Science,Tianjin Normal University,Tianjin 300387,China);Average error of Hermite-Fejér interpolation on the 1-fold integrated Wiener space[J];Journal of Tianjin Normal University(Natural Science Edition);2008-04
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