Results 1 to 10 of about 534,620 (280)
A Survey of Results on the Limit -Bernstein Operator [PDF]
Journal of Applied Mathematics, 2013 The limit -Bernstein operator emerges naturally as a modification of the Szász-Mirakyan operator related to the Euler distribution, which is used in the -boson theory to describe the energy distribution in a -analogue of the coherent state.
Sofiya Ostrovska
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Mathematics, 2022 We introduce a tensor-product kind bivariate operator of a new generalization of Bernstein-type rational functions and its GBS (generalized Boolean sum) operator, and we investigate their approximation properties by obtaining their rates of convergence ...
Esma Yıldız Özkan, Gözde Aksoy
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Some Probabilistic Generalizations of the Cheney–Sharma and Bernstein Approximation Operators
Axioms, 2022 The objective of this paper is to give some probabilistic derivations of the Cheney, Sharma, and Bernstein approximation operators. Motivated by these probabilistic derivations, generalizations of the Cheney, Sharma, and Bernstein operators are defined ...
Seng Huat Ong +3 more
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Iterates of a modified Bernstein type operator
Journal of Numerical Analysis and Approximation Theory, 2019 Using the weakly Picard operators technique and the contraction principle, we study the convergence of the iterates of some modified Bernstein type operators.
Teodora Catinas
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Remarks on a Bernstein-type operator of Aldaz, Kounchev and Render
Journal of Numerical Analysis and Approximation Theory, 2021 The Bernstein-type operator of Aldaz, Kounchev and Render (2009) is discussed. New direct results in terms of the classical second order modulus as well as in a modification following Marsden and Schoenberg are given.
Ana Maria Acu +2 more
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Rough statistical convergence on triple sequence of the Bernstein operator of random variables in probability [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2019 This paper aims to improve further on the work of Phu (2001), Aytar (2008), and Ghosal (2013). We propose a new apporach to extend the application area of rough statistical convergence usually used in triple sequence of the Bernstein operator of real ...
Nagarajan Subramanian +2 more
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Bernstein-Schurer-Stancu operator–based adaptive controller design for chaos synchronization in the q-analogue [PDF]
AUT Journal of Modeling and Simulation, 2023 In this paper, a synchronization controller for chaotic master-slave systems is presented based on the q-analogue of the Bernstein-Schurer-Stancu operators. q-analogue of the Bernstein-Schurer-Stancu operators is employed to approximate uncertainties due
Alireza izadbakhsh
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Mathematics, 2022 An alternative approach, known today as the Bernstein polynomials, to the Weierstrass uniform approximation theorem was provided by Bernstein. These basis polynomials have attained increasing momentum, especially in operator theory, integral equations ...
Faruk Özger +2 more
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Three classes of decomposable distributions
Open Mathematics, 2020 In this work, we refine the results of Sendov and Shan [New representation theorems for completely monotone and Bernstein functions with convexity properties on their measures, J. Theor. Probab.
Jedidi Wissem +2 more
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Approximation of positive operators by analytic vectors
Karpatsʹkì Matematičnì Publìkacìï, 2020 We give the estimates of approximation errors while approximating of a positive operator $A$ in a Banach space by analytic vectors. Our main results are formulated in the form of Bernstein and Jackson type inequalities with explicitly calculated ...
M.I. Dmytryshyn
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