Results 31 to 40 of about 570,801 (287)
Approximation Order for Multivariate Durrmeyer Operators with Jacobi Weights
Abstract and Applied Analysis, 2011 Using the equivalence relation between K-functional and modulus of smoothness, we establish a strong direct theorem and an inverse theorem of weak type for multivariate Bernstein-Durrmeyer operators with Jacobi weights on a simplex in this paper. We also
Jianjun Wang, Chan-Yun Yang, Shukai Duan
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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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On bivariate Bernstein-Chlodowsky operators [PDF]
Journal of Classical Analysis, 2016 Summary: This work relates to the bivariate Bernstein-Chlodowsky operator which is not a tensor product construction. We show that the operator preserves some properties of the original function, for example, function of modulus of continuity, Lipschitz constant, and a kind of monotony.
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Approximation by $q$-Bernstein type operators [PDF]
, 2011 summary:Using the $q$-Bernstein basis, we construct a new sequence $\{ L_{n} \}$ of positive linear operators in $C[0,1].$ We study its approximation properties and the rate of convergence in terms of modulus of ...
Finta, Zoltán
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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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Bernstein operators and finite exchangeability [PDF]
, 1991 We present a method for proving finite versions of De Finetti-type theorems for general measurable spaces (X, A). Bernstein operators on the one dimensional simplex [0, 1] are generalized to Bernstein operators on limits of simplices, representing ...
Pötzelberger, Klaus
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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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A NUMERICAL COMPARATIVE STUDY OF GENERALIZED BERNSTEIN-KANTOROVICH OPERATORS
, 2021 In this paper, a new generalization of the Bernstein-Kantorovich type operators involving multiple shape parameters is introduced. Certain Voronovskaja and Gru spacing diaeresis ss-Voronovskaya type approximation results, statistical convergence and ...
Kadak, Ugur, ÖZGER, FARUK
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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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