On Convergence of the Interpolation Sequence of Rational Functions with Preassigned Poles
Received:February 25, 1993  Revised:March 16, 1996
Key Word: generalized Faber-Dzrbasjan rational functions   Lagrange interpolation rational functions   uniform approximation   mean approximation.  
Fund ProjectL:
Author NameAffiliation
Zhu Laiyi People′s University of China
Beijing 100872 
Gao Shichen Geology University of China
Beijing 100083 
Hits: 1410
Download times: 1228
      Let G be a bounded simply connected domain in the complex plan with boundary ?G=Γ∈C(1,α),0<α<1 . In this paper we estimate the uniform and mean approximation orders of functions in A(G) and E(G)(1<q<+∞)by their Lagrange in terpolation rational functions based on the zeros of the generalized Faber-Dzerbasejan rational functions with preassigned poles in the exterior of G.
View Full Text  View/Add Comment  Download reader