Chinese Quarterly Journal of Mathematics ›› 1997, Vol. 12 ›› Issue (4): 70-74.

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The Mean Convergence Order of Extended Hermite-Fejér Interpolation Operators

  

  1. Department  of  Mathematics,Henan  University,475001
  • Received:1996-09-09 Online:1997-12-30 Published:2024-11-15
  • Supported by:
    Project supported by National Natural Science of Foundation of Henan Province 

Abstract: Weighted Lp mean convergence of Extended Hermite-Fejer operators based on the zeros of orthogonal polynomials with respect to the general weight and Jacobi weight is investigated. Sufficient conditions for such convergence for all continuous functions are given.

Key words: interpolation;orthogonal , polynomial;weight , function ,  ;mean , convergence 

CLC Number: