Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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On the Weighted L1-convergence of Grünwald Interpolatory Operators

  • Wang, Jian Li (Department of Mathematics, Shaoxing Arts and Science College) ;
  • Zhou, Song Ping (Institute of Mathematics, Zhejiang Sci-Tech University, Xiasha Economic Development Area)
  • Received : 2004.09.30
  • Published : 2006.03.23
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Abstract

The present paper investigates the weighted $L^1$-convergence of Gr$\ddot{u}$nwald interpolatory operators based on the zeros of the second Chebyshev polynomials $U_n(x)=\frac{sin(n+1)\theta}{sin\theta}$. The approximation rate is sharp.

Keywords

References

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