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A note on integral modification of the Meyer-König and Zeller operators

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  • Vijay Gupta
  • Niraj Kumar

Abstract

Guo (1988) introduced the integral modification of Meyer-Kö nig and Zeller operators M ˆ n and studied the rate of convergence for functions of bounded variation. Gupta (1995) gave the sharp estimate for the operators M ˆ n . Zeng (1998) gave the exact bound and claimed to improve the results of Guo and Gupta, but there is a major mistake in the paper of Zeng. In the present note, we give the correct estimate for the rate of convergence on bounded variation functions.

Suggested Citation

  • Vijay Gupta & Niraj Kumar, 2003. "A note on integral modification of the Meyer-König and Zeller operators," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2003, pages 1-7, January.
    • Handle: RePEc:hin:jijmms:253087
    DOI: 10.1155/S0161171203208218
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