Vallée Poussin sums of rational Fourier-Chebyshev integral operators and approximations of the Markov function

Inequalities and extremum problems involving convexity in convex geometry (52A40) Approximation by polynomials (41A10) Convex sets in (2) dimensions (including convex curves) (52A10) Curves in Euclidean and related spaces (53A04)

Cites Work

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A method of approximation by rational functions on the real line
Best approximations by rational functions with a fixed number of poles
Best rational approximation to Markov functions
Sur la détermination d'une classe de fonctions analytiques par leurs valeurs dans un ensemble donné de points.
On the orthogonal functions and a new formula of interpolation.
Sur la meilleure approximation des fonctions d'une variable réelle par des expressions d'ordre donné.
Uniform approximations of Stieltjes functions by orthogonal projection on the set of rational functions
Conjugate rational Fourier-Chebyshev operator and its approximation properties
On rational approximation of Markov functions by partial sums of Fourier series on a Chebyshev-Markov system
Rational approximations of functions of Markov-Stieltjes type in Hardy spaces \(H^p\), \(0 < p \leq \infty\)
Sur certaines méthodes d'approximation au moyen de sommes trigonométriques.
Approximations on classes of Poisson integrals by Fourier-Chebyshev rational integral operators
Constants in the approximation of \(|x|\) using the rational interpolation processes
Rational approximation of Markov functions generated by Borelean power-type measures
Sharp estimates for uniform approximations of the function \(| \sin x| \) by partial sums of Fourier series in rational functions
Approximation of Poisson Integrals by de la Vallée Poussin Sums
ON THE SPEED OF RATIONAL APPROXIMATION OF SOME ANALYTIC FUNCTIONS
ON BEST APPROXIMATIONS BY RATIONAL FUNCTIONS WITH A FIXED NUMBER OF POLES
Approximation of Classes of Analytic Functions by de la Vallée-Poussin Sums
Leçons sur l'approximation des fonctions d'une variable réelle.

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