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Approximation polynomiale de fonctions $C^{\infty}$ et analytiques

Salah Baouendi, Charles Goulaouic (1971)

Annales de l'institut Fourier

Sur certains sous-ensembles de $R^{n}$ , on caractérise les fonctions de classe $C^{\infty}$ , les fonctions analytiques et des fonctions de type Gevrey, par leurs distances aux polynômes dans $L^{p}$ ou dans l’espace des fonctions continues.

Approximation polynomiale des fonctions $C^{\infty}$ et analytiques

Charles Goulaouic (1972)

Mémoires de la Société Mathématique de France

Approximation polynomiale sur un compact de $ℝ^{N}$

M. S. Baouendi (1972/1973)

Séminaire Équations aux dérivées partielles (Polytechnique)

Approximation pondérée sur un corps de nombres $p$ -adiques

Michel Emsalem (1974/1975)

Groupe de travail d'analyse ultramétrique

Approximation properties for modified $(p, q)$ -Bernstein-Durrmeyer operators

Mohammad Mursaleen, Ahmed A. H. Alabied (2018)

Mathematica Bohemica

We introduce modified $(p, q)$ -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 $D_{n, p, q}^{*}$ and compute the rate of convergence for the function $f$ belonging to the class ${Lip}_{M} (γ)$ .

Approximation properties of bivariate complex $q$ -Bernstein polynomials in the case $q > 1$

Nazim I. Mahmudov (2012)

Czechoslovak Mathematical Journal

In the paper, we discuss convergence properties and Voronovskaja type theorem for bivariate $q$ -Bernstein polynomials for a function analytic in the polydisc $D_{R_{1}} \times D_{R_{2}} = {z \in C : | z | < R_{1}} \times {z \in C : | z | < R_{1}}$ for arbitrary fixed $q > 1$ . We give quantitative Voronovskaja type estimates for the bivariate $q$ -Bernstein polynomials for $q > 1$ . In the univariate case the similar results were obtained by S. Ostrovska: $q$ -Bernstein polynomials and their iterates. J. Approximation Theory 123 (2003), 232–255. and S. G. Gal: Approximation by Complex Bernstein and Convolution...

Displaying 61 – 71 of 71

Approximation polynomiale de fonctions $C^{\infty}$ et analytiques

Approximation polynomiale des fonctions $C^{\infty}$ et analytiques

Approximation polynomiale sur un compact de $ℝ^{N}$

Approximation pondérée sur un corps de nombres $p$ -adiques

Approximation properties for modified $(p, q)$ -Bernstein-Durrmeyer operators

Approximation properties of bivariate complex $q$ -Bernstein polynomials in the case $q > 1$

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

Currently displaying 61 – 71 of 71