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

Vijay Gupta and Niraj Kumar

International Journal of Mathematics and Mathematical Sciences, 2003, vol. 2003, 1-7

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.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:253087

DOI: 10.1155/S0161171203208218

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