Korovkin type error estimates for Meyer-König and Zeller operators
نویسندگان
چکیده
منابع مشابه
Approximation by Bézier type of Meyer-König and Zeller operators
In this paper, we give direct, inverse and equivalence approximation theorems for the Bézier type of Meyer–König and Zeller operator with unified Ditzian–Totik modulus ωφλ( f, t) (0 ≤ λ ≤ 1). c © 2007 Published by Elsevier Ltd
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In this present paper, we introduce a new and simple integral modification of the Meyer-Konig and Zeller Bezier type operators and study the rate of convergence for functions of bounded variation. Our result improves and corrects the results of Guo (J. Approx. Theory, 56 (1989), 245–255 ), Zeng (Comput. Math. Appl., 39 (2000), 1–13; J. Math. Anal. Appl., 219 (1998), 364–376), etc.
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In the present paper, we study a Kantorovich type generalization of Meyer-König and Zeller type operators via generating functions. Using Korovkin type theorem we first give approximation properties of these operators defined on the space C [0, A] , 0 < A < 1. Secondly, we compute the rate of convergence of these operators by means of the modulus of continuity and the elements of the modified L...
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ژورنال
عنوان ژورنال: Mathematical Inequalities & Applications
سال: 2001
ISSN: 1331-4343
DOI: 10.7153/mia-04-09