Acta mathematica scientia,Series B ›› 2012, Vol. 32 ›› Issue (2): 441-454.doi: 10.1016/S0252-9602(12)60028-9

• Articles •     Next Articles

COMPLEX RATIONAL TYPE INTERPOLATION AT DISTURBED FEJ´|ER POINTS ON A CURVE

 TU Tian-Liang, MO Jiong   

  1. Department of Mathematics and Informatics, North China Institute of Water Conservancy and Hydroelectric Power, Beihuan Roal No. 36, Zhengzhou 450011, China; Department of Physics, Zhengzhou University, Zhengzhou 450052, China
  • Received:2009-09-07 Revised:2011-11-28 Online:2012-03-20 Published:2012-03-20
  • Supported by:

    Supported by NSF of Henan Province of China (20001110001).

Abstract:

The results of accurate order of uniform approximation and simultaneous ap-proximation in the early work “Jackson Type Theorems on Complex Curves” are improved from Fej´er points to disturbed Fej´er points in this article. Furthermore, the stability of convergence of T*n,ε(f, z) with disturbed sample values f(z*k) +εk are also proved in this article.

Key words: Disturbed Fejér points, complex interpolation, order of approximation, closed Jordan curve, uniform convergence

CLC Number: 

  • 30E05
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