Results 261 to 270 of about 570,801 (287)

On the approximation by operators of Bernstein–Stancu types

Applied Mathematics and Computation, 2014
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Dansheng Yu
exaly   +2 more sources

The Eigenstructure of Operators Linking the Bernstein and the Genuine Bernstein–Durrmeyer operators

Mediterranean Journal of Mathematics, 2013
In the present paper, the authors considered the eigenstructure of a class of one-parameter operators and defined as follows: let \(\mathcal{Q}>0\) and \(n\in \mathbb{N}_0=\left\{ {0,1,2,...} \right\},n\geq 1\), the operator \(U_n^\mathcal{Q}:C[0,1] \to \prod\nolimits_n \) expressed by \[ U_n^\mathcal{Q}\left( {f,x} \right): = \sum\limits_{k = 1}^{n ...
Gonska, Heiner, Rasa, Ioan, Stanila, Elena-Dorina   +2 more
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$$\alpha $$-Bernstein–Kantorovich operators

Afrika Matematika, 2019
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Naokant Deo, Ram Pratap
openaire   +1 more source

Approximation by Multivariate Bernstein Operators

Results in Mathematics, 1994
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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
openaire   +1 more source

A family of bivariate rational Bernstein operators

Applied Mathematics and Computation, 2015
zbMATH 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, 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.
openaire   +3 more sources