Approximation by using the Meyer-König and Zeller operators based on (p,q)-analogue
نویسندگان
چکیده
In this paper, a generalization of the q-Meyer-K?nig and Zeller operators by means (p,q)- calculus is introduced. Some approximation results for (p,q)-analogue Meyer-K?nig denoted Mn,p,q 0 < q p ? 1 are obtained. Also we investigate classical statistical versions Korovkin type based on proposed operator. Furthermore, some graphical examples convergence presented.
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
متن کاملOn a New Type of Meyer-konig and Zeller Operators
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 کاملApproximation by Kantorovich Type Generalization of Meyer- König and Zeller Operators
In this study, we define a Kantorovich type generalization of W. MeyerKönig and K. Zeller operators and we will give the approximation properties of these operators with the help of Korovkin theorems. Then we compute the approximation order by modulus of continuity.
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 کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Filomat
سال: 2021
ISSN: ['2406-0933', '0354-5180']
DOI: https://doi.org/10.2298/fil2111767k