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A family of bivariate rational Bernstein operators
Applied Mathematics and Computation, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chun-Gang Zhu, Bao-Yu Xia
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On simultaneous approximation of the Bernstein Durrmeyer operators
Applied Mathematics and Computation, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vijay Gupta 0002 +2 more
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Estimates for the Bernstein Operators
2004The Bernstein operators B n , n ∈ ℕ assign to each function F ∈ ℱ[0, 1], the polynomials $$ {{B}_{n}}(f,x): = \sum\limits_{{k = 0}}^{n} {{{p}_{{n,k}}}(x) \cdot f\left( {\frac{k}{n}} \right),x \in [0,1],\;where} \;{{p}_{{n,k}}}(x): = \left( {\begin{array}{*{20}{c}} n \\ k \\ \end{array} } \right){{x}^{k}}{{(1 - x)}^{{n - k}}}. $$ (4.1)
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Bernstein-Sancu operators on the standard simplex
2003The paper is concerned with a simplicial composition of two different positive approximation processes on a finite real interval in order to construct a positive approximation process on a simplex. The general method is illustrated by considering the sequences of Bernstein and Stancu operators.
CAMPITI, Michele, RASA I.
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On the limit \(q\)-Bernstein operator
Summary: Let \(B_n(f,q;x)\), \(n=1,2,\dots\) be \(q\)-Bernstein polynomials of a function \(f\in C[0,1]\). The polynomials \(B_n(f,1;x)\) are classical Bernstein polynomials. Convergence properties of \(q\)-Bernstein polynomials for \(q\neq 1\) differ essentially from those of the classical ones.openaire +2 more sources
A Modified Robotic Manipulator Controller Based on Bernstein-Kantorovich-Stancu Operator
Micromachines, 2023Xingyu Wang, Qianqian Zhang
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A Proof of a Conjecture About the Asymptotic Formula of a Bernstein Type Operator
Results in Mathematics, 2016Marius-Mihai Birou
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On the image of the limit q‐Bernstein operator
Mathematical Methods in the Applied Sciences, 2009Sofiya Ostrovska
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(?, ?)-Bernstein-Kantorovich operators
In this article, we introduce a new family of ( lambda , psi ) \left(\lambda ,\psi ) -Bernstein-Kantorovich operators which depends on a parameter lambda \lambda , derived from the basis functions of B & eacute;zier curves and an integrable function psi \psi . In this approach, all moments and central moments of the new operators can be obtained inAktuglu, Huseyin +3 more
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The generalization of the Bernstein operator on any finite interval
Georgian Mathematical Journal, 2017Dan Miclăuş
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