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Kantorovich-Bernstein polynomials

Constructive Approximation, 1990
The authors unify the saturation and direct-converse theorems for a steady rate of convergence in \(L_ p[0,1 ...
Ditzian, Zeev, Zhou, Xinlong
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Approximation by Bernstein Polynomials

American Journal of Mathematics, 1994
Let \[ B_ n(f; x)= \sum^ n_{k=0} f\left({k\over n}\right)\left(\begin{smallmatrix} n\\ k\end{smallmatrix}\right) x^ k(1-x)^{n- k} \] and \(w_ \varphi(f; \delta)= \sup_{0\leq t\leq \delta} \sup_ x| f(x- t\varphi(x))- 2f(x)+ f(x+ t\varphi(x)))|\), where \(f\in C[0,1]\), \(\varphi(x)= \sqrt{x(1-x)}\) and the second supremum is taken for those values of ...
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Bernstein Polynomial and Tjurina Number

Geometriae Dedicata, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hertling, Claus, Stahlke, Colin
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Asymptotics of Differentiated Bernstein Polynomials

Constructive Approximation, 2001
The \(m-\)th derivative of the \(n-\)th order Bernstein polynomial of a function \(f\) is considered for large values of \(n\). For functions \(f\) satisfiyng a certain Lipschitz condition the asymptotics is done by using the Gauss-Weierstrass singular integral.
Impens, C., Vernaeve, H.
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Evaluating Bernstein–Rabin–Winograd polynomials

Designs, Codes and Cryptography, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sebati Ghosh, Palash Sarkar
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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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On Two-Dimensional Bernstein Polynomials

Canadian Journal of Mathematics, 1953
Let the function of two real variablesf(x, y) be given over the ...
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Bernstein Polynomials

1993
Ronald A. DeVore, George G. Lorentz
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Generalized Bernstein polynomials

Mathematische Zeitschrift, 1966
Jakimovski, Amnon, Leviatan, D.
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