期刊文献+

The Average Errors for Lagrange Interpolation on the Wiener Space 被引量:5

The Average Errors for Lagrange Interpolation on the Wiener Space
原文传递
导出
摘要 For the weighted approximation in Lp-norm, we determine the asymptotic order for the p- average errors of Lagrange interpolation sequence based on the Chebyshev nodes on the Wiener space. We also determine its value in some special case. For the weighted approximation in Lp-norm, we determine the asymptotic order for the p- average errors of Lagrange interpolation sequence based on the Chebyshev nodes on the Wiener space. We also determine its value in some special case.
作者 Gui Qiao XU
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2012年第8期1581-1596,共16页 数学学报(英文版)
基金 Supported by National Natural Science Foundation of China(Grant No.10471010)
关键词 Chebyshev polynomial Lagrange interpolation weighted Lp-norm Wiener space Chebyshev polynomial, Lagrange interpolation, weighted Lp-norm, Wiener space
  • 相关文献

参考文献1

二级参考文献9

  • 1Lorentz GG.Bernstein Polynomials. . 1953 被引量:1
  • 2Traub JF,Wasilkowski GW,Wozniakowski H.Information-Based Complexity. . 1988 被引量:1
  • 3Varma A K,Prasad J.An analogue of a problem of p Erd s and e Feldheim on lp convergence of interpolatory process. Journal of Approximation Theory . 1989 被引量:1
  • 4Ritter,K.Approximation and optimization on the Wiener space. Journal of Complexity . 1990 被引量:1
  • 5Ritter K.Average-case analysis of numerical problems. Lecture Notes in Mathematics . 2000 被引量:1
  • 6Sun Y.S,Wang C.Y.Average error bounds of best approximation of continuous functions on the Wiener space. Journal of Complexity . 1995 被引量:1
  • 7VarmaAK,VertesiP.SOmeErdos-FeldheimtypetheoremsonmeanconvergenceofLagrangeinterpolation. JMathAnalAppl . 1983 被引量:1
  • 8DEVORE R A,LORENTZ G G.Constructive Approximation. . 1993 被引量:1
  • 9Bojanic R,Prasad J,Saxena R B.An upper bound for the rate of convergence of the Hermite-Fejr process on the extended Chebyshev nodes of the second kind. Journal of Approximation Theory . 1979 被引量:1

共引文献13

同被引文献13

引证文献5

二级引证文献5

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部