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RATE OF CONVERGENCE FOR MEYER-KONIG AND ZELLER OPERATORS WITH JACOBI-WEIGHTS

RATE OF CONVERGENCE FOR MEYER-KONIG AND ZELLER OPERATORS WITH JACOBI-WEIGHTS
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摘要 We point out that the Meyer-Konig and Zeller operator Mn (f;x) are unbounded in usual Jacobi weighted norm at first, and then we consider the weighted approximation by Mn(f;x) by a new norm and obtain the characterization of convergence rate in nonoptimal approximation by K-functional. We point out that the Meyer-Konig and Zeller operator Mn (f;x) are unbounded in usual Jacobi weighted norm at first, and then we consider the weighted approximation by Mn(f;x) by a new norm and obtain the characterization of convergence rate in nonoptimal approximation by K-functional.
出处 《Approximation Theory and Its Applications》 2002年第3期52-64,共13页 逼近论及其应用(英文版)
基金 Supported by the Shanxi Province Youth Foundation of China,Grant 20011005.
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参考文献2

  • 1V. Totik.Uniform approximation by Baskakov and Meyer-K?nig and Zeller operators[J].Periodica Mathematica Hungarica (-).1983(3-4)
  • 2Michael Becker,Rolf J. Nessel.A Global Approximation Theorem for Meyer-K?nig and Zeller operators[J].Mathematische Zeitschrift.1978(3)

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