Results 11 to 20 of about 1,030 (119)
Modified Bernstein–Durrmeyer Type Operators [PDF]
Mathematics, 2022 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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Journal of Function Spaces, 2021 In this article, our main purpose is to define the p,q-variant of Szász-Durrmeyer type operators with the help of Dunkl generalization generated by an exponential function.
Abdullah Alotaibi
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Durrmeyer-Stancu type operators
Journal of Numerical Analysis and Approximation Theory, 2010 Considering two given real parameters \(\alpha, \beta\) satisfying the conditions \(0\leq\alpha\leq\beta\), D. D. Stancu [7] constructed and studied the linear positive operators \(P^{(\alpha,\beta)}_m:C([0,1])\to C([0,1])\), defined for any \(f\in C([0 ...
Ovidiu T. Pop, Dan Bărbosu
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Approximation degree of Durrmeyer-Bézier type operators. [PDF]
J Inequal Appl, 2018 Recently, a mixed hybrid operator, generalizing the well-known Phillips operators and Baskakov-Szász type operators, was introduced. In this paper, we study Bézier variant of these new operators. We investigate the degree of approximation of these operators by means of the Lipschitz class function, the modulus of continuity, and a weighted space.
Agrawal PN, Araci S, Bohner M, Lipi K.
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On q-Szász-Durrmeyer operators
Open Mathematics, 2010 Abstract In the present paper, we introduce the q-Szász-Durrmeyer operators and justify a local approximation result for continuous functions in terms of moduli of continuity. We also discuss a Voronovskaya type result for the q-Szász-Durrmeyer operators.
Mahmudov Nazim, Kaffaoğlu Havva
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GENUINE MODIFIED BASKAKOV-DURRMEYER OPERATORS [PDF]
Facta Universitatis, Series: Mathematics and Informatics, 2021 The present paper deals with genuine Baskakov Durrmeyer operators which have preserved certain functions. We have obtained quantitative Voronovskaya and quantitative Grüss type Voronovskaya theorems using the weighted modulus of continuity. These results include the preservation properties of the classical genuine Baskakov Durrmeyer operators.
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Semi‐discrete operators in multivariate setting: Convergence properties and applications
Mathematical Methods in the Applied Sciences, Volume 46, Issue 9, Page 11058-11079, June 2023., 2023 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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Some Bernstein–Durrmeyer-type operators [PDF]
Methods and Applications of Analysis, 1997 With a view to generalize Bernstein and Szász operators \textit{A. Meir} and \textit{A. Sharma} [Indag. Math. 29, 395-403 (1967; Zbl 0176.34801)] had introduced two linear positive operators, the first one being based on Laguerre polynomials while the second on Hermite polynomials.
Chen, Weiyu, Sharma, A.
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On the convergence properties of sampling Durrmeyer‐type operators in Orlicz spaces
Mathematische Nachrichten, Volume 296, Issue 2, Page 588-609, February 2023., 2023 Abstract Here, we provide a unifying treatment of the convergence of a general form of sampling‐type operators, given by the so‐called sampling Durrmeyer‐type series. The main result consists of the study of a modular convergence theorem in the general setting of Orlicz spaces Lφ(R)$L^\varphi (\mathbb {R})$.
Danilo Costarelli +2 more
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On a Family of Parameter‐Based Bernstein Type Operators with Shape‐Preserving Properties
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 This article aims to introduce a new linear positive operator with a parameter. Our focus lies in analyzing the distinct characteristics and inherent properties exhibited by this operator. Additionally, we provide a proof of the convergence rate and present a revised version of the Voronovskaja theorem specifically tailored for this newly defined ...
Bahareh Nouri +2 more
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