Results 191 to 200 of about 3,011 (212)

Linear Combinations of Bernstein Polynomials

Canadian Journal of Mathematics, 1953
If f(x) is denned on [0, 1], then its corresponding Bernstein polynomialapproaches f(x) uniformly on [0, 1], if f(x) is continuous on [0, 1]. If f(x) is bounded on [0, 1], then at every point x where the second derivative exists (Voronowskaja [7], see also [5])
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Approximation by Bernstein-Chlodowsky polynomials

2002
In the paper the weighted approximation of continuous functions by Bernstein-Chlodowsky polynomials and their generalizations are presented. The Bernstein-Chlodowsky polynomials are defined by \[ (B_n f)(x)= \sum^n_{k=0} f\Biggl({k\over n} b_n\Biggr){n\choose k} \Biggl({x\over b_n}\Biggr)^k\Biggl(1- {x\over b_n}\Biggr)^{n-k},\tag{1} \] where \(0\leq x ...
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Integrals of Bernstein polynomials: An application for the solution of high even-order differential equations

Applied Mathematics Letters, 2011
E H Doha, A H Bhrawy, M A Saker
exaly  

Bernstein Polynomials

1993
Ronald A. DeVore, George G. Lorentz
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Numerical solution for the variable order linear cable equation with Bernstein polynomials

Applied Mathematics and Computation, 2014
Yiming Chen
exaly  

On the Convergence and Iterates of q-Bernstein Polynomials

Journal of Approximation Theory, 2002
Halil ORUC, Necibe Tuncer
exaly  

Multistage Bernstein polynomials for the solutions of the Fractional Order Stiff Systems

Journal of King Saud University - Science, 2016
I Hashim
exaly  

Properties of convergence for ω,q-Bernstein polynomials

Journal of Mathematical Analysis and Applications, 2008
Heping Wang
exaly  

Connections between two-variable Bernstein and Jacobi polynomials on the triangle

Journal of Computational and Applied Mathematics, 2006
Stanisław Lewanowicz, Paweł Wozny
exaly  

Approximation properties of a new type Bernstein–Stancu polynomials of one and two variables

Applied Mathematics and Computation, 2010
Arash Ghorbanalizadeh
exaly