Chinese Quarterly Journal of Mathematics ›› 2009, Vol. 24 ›› Issue (1): 94-101.

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An Estimation for the Average Error of the Quasi-Grünwald Interpolation in the Wiener Space 

  

  1. College of Mathematic Science, Tianjin Normal University
  • Received:2006-05-08 Online:2009-03-30 Published:2023-09-08
  • About author: LIU Ying(1982- ), female, native of Tianjin, a post graduate of Tianjin Normal University, M.S.D., engages in approximation theory; XU Gui-qiao(1963- ), male, native of Shijiazhuang, Hebei, a professor of Tianjin Normal University, Ph.D., engages in approximation theory.
  • Supported by:
     Supported by the National Natural Science Foundation of China(10471010);

Abstract: We obtain an upper bound for the average error of the quasi-Grünwald interpo-lation based on the zeros of Chebyshev polynomial of the second kind in the Wiener space.

Key words: Chebysheve polynomials, quasi-Grünwald interpolation, L2 norm, Wiener
space

CLC Number: