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Vijay Gupta 《Journal of Mathematical Analysis and Applications》2004,289(1):292-300
Guo (Approx. Theory Appl. 4 (1988) 9-18) introduced the integral modification of Meyer-Konig and Zeller operators and studied the rate of convergence for functions of bounded variation. In this paper we introduce the Bézier variant of these integrated MKZ operators and study the rate of convergence by means of the decomposition technique of functions of bounded variation together with some results of probability theory and the exact bound of MKZ basis functions. Recently, Zeng (J. Math. Anal. Appl. 219 (1998) 364-376) claimed to improve the results of Guo and Gupta (Approx. Theory Appl. 11 (1995) 106-107), but there is a major mistake in the paper of Zeng. For special case our main theorem gives the correct estimate on the rate of convergence, over the result of Zeng. 相似文献
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宣培才 《宁波大学学报(理工版)》1993,(2)
借助于一类K—泛函和加权光滑模之间的等价关系,给出了积分型Meyer-Konig和Zeller算子在一致逼近意义的特征刻划. 相似文献
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谢林森 《浙江大学学报(理学版)》1994,(2)
本文给出了Meyer-Knig-Zeller算子的点态逼近定理,包含了M.Becker,R.J.Nessel1978年和V.Totik 1984年的结果。 相似文献
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