Some Approximation Properties of the p,q–Stancu–Schurer–Bleimann–Butzer–Hahn Operators
In this article, the p,q–Stancu–Schurer–Bleimann–Butzer–Hahn (p,q-SSBBH) operators are introduced. The Korovkin-type theorem is obtained to show the approximation properties of these operators.
Gülten Torun
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A new kind of Bernstein-Schurer-Stancu-Kantorovich-type operators based on q-integers. [PDF]
Chauhan R, Ispir N, Agrawal PN.
europepmc +2 more sources
Approximation by q-Post-Widder Operators Based on a New Parameter
The purpose of this paper is to introduce q-Post–Widder operators based on a new parameter and study their approximation properties. The moments and central moments are investigated.
Qiu Lin
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Asymptotic formula in simultaneous approximation for certain Ismail-May-Baskakov operators
In the present paper, we introduce a modification of Ismail-May operators having weights of Baskakov basis functions. We estimate weighted Korovkin's theorem and difference estimates between two operators and establish a Voronovskaja type asymptotic ...
Vijay Gupta, Michael Th. Rassias
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Investigation of the Asymptotic Behavior of Generalized Baskakov-Durrmeyer-Stancu Type Operators
In this manuscript, we firstly find the Korovkin test functions for the Baskakov operators, secondly, we find the generalized Baskakov-Durrmeyer-Stancu type operators.
Ülkü Dinlemez Kantar +2 more
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On the rate of convergence of modified \(\alpha\)-Bernstein operators based on q-integers
In the present paper we define a q-analogue of the modified a-Bernstein operators introduced by Kajla and Acar (Ann. Funct. Anal. 10 (4) 2019, 570-582). We study uniform convergence theorem and the Voronovskaja type asymptotic theorem.
Purshottam Agrawal +2 more
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Modified Bernstein–Durrmeyer Type Operators
We constructed a summation–integral type operator based on the latest research in the linear positive operators area. We establish some approximation properties for this new operator.
Arun Kajla, Dan Miclǎuş
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Higher order Kantorovich-type Szász–Mirakjan operators
In this paper, we define new higher order Kantorovich-type Szász–Mirakjan operators, we give some approximation properties of these operators in terms of various moduli of continuity. We prove a local approximation theorem, a Korovkin-type theorem, and a
Pembe Sabancigil +2 more
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Semi‐discrete operators in multivariate setting: Convergence properties and applications
In this paper, we study the convergence properties of certain semi‐discrete exponential‐type sampling series in a multidimensional frame. In particular, we obtain an asymptotic formula of Voronovskaya type, which gives a precise order of approximation in the space of continuous functions, and we give some particular example illustrating the theory ...
Carlo Bardaro +3 more
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APPROXIMATION BY JAIN-SCHURER OPERATORS [PDF]
In this paper we deal with Jain-Schurer operators. We give an estimate, related to the degree of approximation, via K-functional. Also, we present a Voronovskaja-type result.
Başcanbaz-Tunca, Gülen, Çetin, Nursel
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