Approximation on the sphere-a survey
Approximation polynomiale de fonctions et analytiques
Sur certains sous-ensembles de , on caractérise les fonctions de classe , les fonctions analytiques et des fonctions de type Gevrey, par leurs distances aux polynômes dans ou dans l’espace des fonctions continues.
Approximation polynomiale des fonctions et analytiques
Approximation polynomiale sur un compact de
Approximation pondérée sur un corps de nombres -adiques
Approximation properties for modified -Bernstein-Durrmeyer operators
We introduce modified -Bernstein-Durrmeyer operators. We discuss approximation properties for these operators based on Korovkin type approximation theorem and compute the order of convergence using usual modulus of continuity. We also study the local approximation property of the sequence of positive linear operators and compute the rate of convergence for the function belonging to the class .
Approximation properties of bivariate complex -Bernstein polynomials in the case
In the paper, we discuss convergence properties and Voronovskaja type theorem for bivariate -Bernstein polynomials for a function analytic in the polydisc for arbitrary fixed . We give quantitative Voronovskaja type estimates for the bivariate -Bernstein polynomials for . In the univariate case the similar results were obtained by S. Ostrovska: -Bernstein polynomials and their iterates. J. Approximation Theory 123 (2003), 232–255. and S. G. Gal: Approximation by Complex Bernstein and Convolution...
Approximation under an arc length constraint.
Approximation under an arc length constraint. (Short Communiaction).
Aproximace a abstraktní hranice
Aproximación e interpolación mediante polinomios.
Asymptotic behaviour of differentiated Bernstein polynomials
Basic sets of polynomials in Clifford analysis
Bemerkungen zur Approximation stetiger Funktionen in einer p-adischen Variablen. II.
Bemerkungen zur Approximation stetiger Funktionen in einer p-adischen Variablen. I.
Bernstein approximation of a function whose derivatives satisfy the Lipschitz condition on bounded square or triangle.
Bernstein approximations of Dirichlet problems for elliptic operators on the plane.
Bernstein polynomial is a best approximation polynomial?
Bernstein type operators having 1 and x j as fixed points
For certain generalized Bernstein operators {L n} we show that there exist no i, j ∈ {1, 2, 3,…}, i < j, such that the functions e i(x) = x i and e j (x) = x j are preserved by L n for each n = 1, 2,… But there exist infinitely many e i such that e 0(x) = 1 and e j (x) = x j are its fixed points.
Bernstein-type operators on the half line
We define Bernstein-type operators on the half line by means of two sequences of strictly positive real numbers. After studying their approximation properties, we also establish a Voronovskaja-type result with respect to a suitable weighted norm.