Results 11 to 20 of about 537 (141)
Voronovskaja-type theorem for certain GBS operators [PDF]
Glasnik Matematicki, 2008 In this paper we will demonstrate a Voronovskaja-type theorem and approximation theorem for GBS operator associated to a linear positive ...
Agratini +20 more
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Multivariate Neural Network Operators: Simultaneous Approximation and Voronovskaja‐Type Theorem
Mathematical Methods in the Applied Sciences, Volume 48, Issue 11, Page 10669-10677, 30 July 2025.ABSTRACT In this paper, the simultaneous approximation and a Voronoskaja‐type theorem for the multivariate neural network operators of the Kantorovich type have been proved. In order to establish such results, a suitable multivariate Strang–Fix type condition has been assumed.
Marco Cantarini, Danilo Costarelli
wiley +4 more sources
The Voronovskaja theorem for Bernstein-Schurer bivariate operators
Journal of Numerical Analysis and Approximation Theory, 2004 The Voronovskaja theorem for the Bernstein-Schurer bivariate operatos is established.
Dan Bărbosu
doaj +4 more sources
Asymptotic formula in simultaneous approximation for certain Ismail-May-Baskakov operators
Journal of Numerical Analysis and Approximation Theory, 2021 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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On the rate of convergence of modified \(\alpha\)-Bernstein operators based on q-integers
Journal of Numerical Analysis and Approximation Theory, 2022 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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On Better Approximation of the Squared Bernstein Polynomials [PDF]
مجلة جامعة الانبار للعلوم الصرفة, 2022 The present paper is defined a new better approximation of the squared Bernstein polynomials. This better approximation has been built on a positive function defined on the interval [0,1] which has some properties.
Rafah Katham, Ali Mohammad
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Investigation of the Asymptotic Behavior of Generalized Baskakov-Durrmeyer-Stancu Type Operators
Cumhuriyet Science Journal, 2022 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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Modified Bernstein–Durrmeyer Type Operators
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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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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Higher order Kantorovich-type Szász–Mirakjan operators
Journal of Inequalities and Applications, 2022 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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