Results 271 to 280 of about 1,722 (295)

The complete asymptotic expansion for Bernstein operators

Journal of Mathematical Analysis and Applications, 2012
In this paper we study the asymptotic behavior of the classical Bernstein operators, applied to q-times continuously differentiable functions. Our main results extend the results of S.N. Bernstein and R.G.
Tachev, Gancho T., Gancho T. Tachev
exaly   +2 more sources

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On the approximation by operators of Bernstein–Stancu types

Applied Mathematics and Computation, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Meilin Wang, Dansheng Yu, Ping Zhou
openaire   +1 more source

Approximation by Multivariate Bernstein Operators

Results in Mathematics, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On genuine $q$-Bernstein--Durrmeyer operators

Publicationes Mathematicae Debrecen, 2010
Summary: We introduce genuine \(q\)-Bernstein-Durrmeyer operators and estimate the rate of convergence for continuous functions in terms of the modulus of continuity. Furthermore, we study some direct results for the genuine \(q\)-Bernstein-Durrmeyer operators.
Mahmudov, Nazim I., Sabancigil, Pembe
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On the Decomposition of Bernstein Operators

Numerical Functional Analysis and Optimization, 2014
Let F n be the linear operators on C[0, 1] defined by , where B n are the classical Bernstein operators and are Beta operators. This decomposition of B n was investigated in Gonska et al. [6]. Although the operators F n are not positive, they have quite interesting properties. We obtain new results concerning the convergence of the sequence (F n ).
Margareta Heilmann, Ioan Raşa
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A family of bivariate rational Bernstein operators

Applied Mathematics and Computation, 2015
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Chun-Gang Zhu, Bao-Yu Xia
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On simultaneous approximation of the Bernstein Durrmeyer operators

Applied Mathematics and Computation, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vijay Gupta 0002, Antonio-Jesús López-Moreno, José-Manuel Latorre-Palacios   +2 more
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Estimates for the Bernstein Operators

2004
The 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

2003
The 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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New approximation properties of the Bernstein max-min operators and Bernstein max-product operators

Mathematical Foundations of Computing, 2021
Lucian Coroianu, Sorin G Gal
exaly