Results 241 to 250 of about 52,227 (263)

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
openaire   +2 more sources

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
openaire   +2 more sources

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)
openaire   +1 more source

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  

Approximation of functions by Stancu variant of Bernstein–Kantorovich operators based on shape parameter $${\varvec{\alpha }}$$

Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 2020
S A Mohiuddine, Faruk Özger
exaly  

(?, ?)-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 in
Aktuglu, Huseyin, Kara, Mustafa, Baytunc, Erdem, Fidan, Saner   +3 more
openaire   +1 more source

Some approximation results by (p, q)-analogue of Bernstein–Stancu operators

Applied Mathematics and Computation, 2015
M Mursaleen, Khursheed J Ansari, Asif Khan   +2 more
exaly  

Construction of a new family of Bernstein‐Kantorovich operators

Mathematical Methods in the Applied Sciences, 2017
S A Mohiuddine, Tuncer Acar, Abdullah Alotaibi   +2 more
exaly  

On approximation by a class of new Bernstein type operators

Applied Mathematics and Computation, 2008
Naokant Deo, Muhammad Aslam Noor
exaly