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On the Weighted -convergence of Grnwald Interpolatory Operators

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Abstract

The present paper investigates the weighted L1-convergence of Gr¨unwald in-terpolatory operators based on the zeros of the second Chebyshev polynomialsUn (x) =sin( n +1) sin . The approximation rate is sharp.

참고문헌 (6)

  1. "Moduli of smoothness", berlin (1987)
  2. "The rate ofL1-convergence of Gr¨unwald inter-polatory operators", 14(3), pp.55~59 (1998)
  3. "J. Math. Res. Ex-position", 9 1989 (1989)
  4. "1}$-convergence of Gr\", pp.485~490 (1989), in Chinese
  5. J. Math. Anal. Appl, "Mean convergence of Hermite-Fej\'", pp.26~53 (1985)
  6. G. Q. Xu, "The rate of $L^{2}$-convergence of a kind of quasi-Gr\" {u}nwald interpolatory operators", 17(2), pp.19~24 (2000)

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