Results 11 to 20 of about 1,722 (295)
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.
Render, Hermann
openaire +6 more sources
Derivatives of Multivariate Bernstein Operators and Smoothness with Jacobi Weights [PDF]
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
doaj +2 more sources
Optimality of generalized Bernstein operators
Journal of Approximation Theory, 2010 We show that a certain optimality property of the classical Bernstein operator also holds, when suitably reinterpreted, for generalized Bernstein operators on extended Chebyshev systems.
J. M. Aldaz, Hermann Render
openaire +4 more sources
On an extremal relation of Bernstein operators
Journal of Approximation Theory, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jorge Bustamante, José M. Quesada
openaire +3 more sources
An extremal property of Bernstein operators
Journal of Approximation Theory, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jesús De La Cal, Javier Cárcamo
openaire +3 more sources
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 +2 more
doaj +2 more sources
On Durrmeyer Type λ-Bernstein Operators via (p, q)-Calculus
Journal of Function Spaces, 2020 In the present paper, Durrmeyer type λ-Bernstein operators via (p, q)-calculus are constructed, the first and second moments and central moments of these operators are estimated, a Korovkin type approximation theorem is established, and the estimates on ...
Qing-Bo Cai, Guorong Zhou
doaj +2 more sources
Some approximation properties of ( p , q ) $(p,q)$ -Bernstein operators
Journal of Inequalities and Applications, 2016 This paper is concerned with the ( p , q ) $(p,q)$ -analog of Bernstein operators. It is proved that, when the function is convex, the ( p , q ) $(p,q)$ -Bernstein operators are monotonic decreasing, as in the classical case.
Shin Min Kang +4 more
doaj +2 more sources
On the eigenfunctions of the q-Bernstein operators
Annals of Functional Analysis, 2022 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sofiya Ostrovska, Mehmet Turan
openaire +2 more sources
Modified Operators Interpolating at Endpoints
Mathematics, 2021 Some classical operators (e.g., Bernstein) preserve the affine functions and consequently interpolate at the endpoints. Other classical operators (e.g., Bernstein–Durrmeyer) have been modified in order to preserve the affine functions.
Ana Maria Acu +2 more
doaj +1 more source