Results 31 to 40 of about 1,370 (242)

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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Bernstein-Durrmeyer operators

Computers & Mathematics with Applications, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Adell, J.A., de la Cal, J.
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Approximation by α-Bernstein-Schurer operator

Hacettepe Journal of Mathematics and Statistics, 2021
Summary: In this paper, we introduce a new family of generalized Bernstein-Schurer operators and investigate some approximation properties of these operators. We obtain a uniform approximation result using the well-known Korovkin theorem and give the degree of approximation via second modulus of smoothness.
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Positive Bernstein-Sheffer Operators

Journal of Approximation Theory, 1995
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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, Zuoxiang Peng, Shukai Duan, Jia Jing   +3 more
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Approximation by One and Two Variables of the Bernstein-Schurer-Type Operators and Associated GBS Operators on Symmetrical Mobile Interval

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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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, Esi, Ayhan, Açıkgöz, Mehmet   +2 more
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On the convergence of Lupaş (p,q) $(p,q)$-Bernstein operators via contraction principle

Journal of Inequalities and Applications, 2019
The present paper deals with the limit behavior of iterates of Lupaş q- and (p,q) $(p,q)$-Bernstein operators. We obtain the convergence for Lupaş q- and (p,q) $(p,q)$-Bernstein operators by using the contraction principle.
Haifa Bin Jebreen, Mohammad Mursaleen, Mohd Ahasan   +2 more
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Bivariate Chlodowsky-Stancu Variant of (p,q)-Bernstein-Schurer Operators

Journal of Function Spaces, 2019
In this study, it is proposed to define bivariate Chlodowsky variant of (p,q)-Bernstein-Stancu-Schurer operators. Therefore, Korovkin-type approximation theorems and the error of approximation by using full modulus of continuity are presented.
Tuba Vedi-Dilek, Eser Gemikonakli
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