Approximation Theory and its Applications

, Volume 8, Issue 3, pp 28–37 | Cite as

On Lp-convergence of Grunwald interpolation

  • Min Guohua


In this paper, the Lp-convergence of Grünwald interpolation Gn(f,x) based on the zeros of Jacobi polynomials J n (α,β) (x)(−1<α,β<1) is considered. Lp-convergence (0<p<2) of Grünwald interpolation Gn(f,x) is proved for p·Max(α,β)<1. Moreover, Lp-convergence (p>0) of Gn(f,x) is obtained for −1<α,β≤0. Therefore, the results of [1] and [3–5] are improved.


Weight Function Orthogonal Polynomial Normal Matrix Polynomial Interpolation Jacobi Polynomial 
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Copyright information

© Springer 1992

Authors and Affiliations

  • Min Guohua
    • 1
  1. 1.Department of MathematicsEast China Institute of TechnologyNanjingPRC

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