On bivariate 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.
متن کاملOn the Approximation Properties of q-Laguerre type Modification of Meyer König and Zeller Operators
In the present paper, we introduce a Laguerre type positive linear operators based on the q-integers including the q-Meyer König and Zeller operators defined by Doğru and Duman in [7]. Then we obtain some results about Korovkin type approximation properties and rates of convergence for this generalization. Key-Words: Positive linear operators, q-Meyer König and Zeller operators, qLaguerre polyn...
متن کاملA Note on Integral Modification of the Meyer-könig and Zeller Operators
Guo (1988) introduced the integral modification of Meyer-König and Zeller operators M̂n and studied the rate of convergence for functions of bounded variation. Gupta (1995) gave the sharp estimate for the operators M̂n. 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 e...
متن کاملOn a theorem of W. Meyer-König and H. Tietz
Let (un) be a sequence of real numbers and let L be an additive limitable method with some property. We prove that if the classical control modulo of the oscillatory behavior of (un) belonging to some class of sequences is a Tauberian condition for L, then convergence or subsequential convergence of (un) out of L is recovered depending on the conditions on the general control modulo of the osci...
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ژورنال
عنوان ژورنال: Miskolc Mathematical Notes
سال: 2013
ISSN: 1787-2405,1787-2413
DOI: 10.18514/mmn.2013.531