Results 21 to 30 of about 52,227 (263)
The Diagonalisation of the Multivariate Bernstein Operator
Journal of Approximation Theory, 2002 The paper is split into five sections. In Section 1 is defined the multivariate Bernstein operator \(B_n\) of degree \(n\) for a simplex in \(\mathbb{R}^s\), establishing notations and some technical results. In Section 2, the authors show that \(B_n\) is diagonalisable with the same eigenvalues as the univariate Bernstein operator, i.e.
Shaun Cooper, Shayne Waldron
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A Generalization of Bernstein–Kantorovič Operators
Journal of Mathematical Analysis and Applications, 2000 The authors introduce a double sequence \((L_n^{\langle k \rangle}: n\geq 1,k\geq 0)\) of linear polynomial operators which includes, as particular cases, the Bernstein, Kantorovič and Cao operators. For the operators \(L_n^{\langle k\rangle}\) the authors discuss several approximation properties: the convergence properties, the preservation of global ...
de la Cal, Jesús, Valle, Ana M
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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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Bivariate Bernstein type operators
Applied Mathematics and Computation, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gülen Bascanbaz Tunca +2 more
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Statistical Convergence of Bernstein Operators
Applied Mathematics & Information Sciences, 2016 The Bernstein operator is one of the important topics of approximation theory in which it has been studied in great details for a long time. The aim of this paper is to study the statistical convergence of sequence of Bernstein polynomials. In this paper, we introduce the concepts of statistical convergence of Bernstein polynomials and VB−summability ...
Aracı, Serkan +2 more
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Derivatives of Multivariate Bernstein Operators and Smoothness with Jacobi Weights
Journal of Applied Mathematics, 2012 Using the modulus of smoothness, directional derivatives of multivariate Bernstein operators with weights are characterized. The obtained results partly generalize the corresponding ones for multivariate Bernstein operators without weights.
Jianjun Wang +3 more
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On multiplicativity of the Bernstein operator
Computers & Mathematics with Applications, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Convergence of rational Bernstein operators [PDF]
Applied Mathematics and Computation, 2014 In this paper we discuss convergence properties and error estimates of rational Bernstein operators introduced by P. Piţul and P. Sablonnière. It is shown that the rational Bernstein operators R_n converge to the identity operator if and only if Δ_n, the maximal difference between two consecutive nodes of R_n, is converging to zero.
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Journal of Function Spaces, 2021 In this article, we purpose to study some approximation properties of the one and two variables of the Bernstein-Schurer-type operators and associated GBS (Generalized Boolean Sum) operators on a symmetrical mobile interval.
Reşat Aslan, Aydın İzgi
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Statistical Approximation of q-Bernstein-Schurer-Stancu-Kantorovich Operators
Journal of Applied Mathematics, 2014 We introduce two kinds of Kantorovich-type q-Bernstein-Schurer-Stancu operators. We first estimate moments of q-Bernstein-Schurer-Stancu-Kantorovich operators. We also establish the statistical approximation properties of these operators. Furthermore, we
Qiu Lin
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