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Exploring q-Bernstein-Bézier surfaces in Minkowski space: Analysis, modeling, and applications. [PDF]
PLoS ONEIn this paper, we examine q-Bernstein-Bézier surfaces in Minkowski space-[Formula: see text] with q as the shape parameter. These surfaces, a generalization of Bézier surfaces, have applications in mathematics, computer-aided geometric design, and ...
Sadia Bashir, Daud Ahmad, Ghada Ali
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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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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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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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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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Genuine modified Bernstein–Durrmeyer operators [PDF]
Journal of Inequalities and Applications, 2018 The present paper deals with genuine Bernstein-Durrmeyer operators which preserve some certain functions. The rate of convergence of new operators via a Peetre [Formula: see text]-functional and corresponding modulus of smoothness, quantitative Voronovskaya type theorem and Grüss-Voronovskaya type theorem in quantitative mean are discussed.
Syed Abdul Mohiuddine +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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Differentiated Bernstein type operators
Dolomites Research Notes on Approximation, 2020 1. The second author has been supported within TUBITAK (The Scientific and Technological Research Council of Turkey) 1002 -Project 119F191 and the third author would like to thank to TUBITAK for their financial supports during his PhD studies.
Aral, Ali, Acar, Tuncer, Ozsarac, Firat
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Bézier–Bernstein–Durrmeyer type operators
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kajla, Arun, Acar, Tuncer
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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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