Geodesic
Inverse results for generalized Favard-Kantorovich and Favard-Durrmeyer operators in weighted function spaces
Bollettino della Unione matematica italiana, Série 8, 9B (2006) no. 1, pp. 183-195.

Voir la notice de l'article dans Biblioteca Digitale Italiana di Matematica

We consider the Kantorovich and the Durrmeyer type modifications of the generalized Favard operators and we prove inverse approximation theorems for functions \(f\) such that \(w_{2m} f \in L^p (R)\), where \(1\leq p \leq \infty\) and \(w_{2m}(x)=(1+ x^{2m})^{-1}\), m∈N0.
Consideriamo le modificazioni di tipo Kantorovich e Durrmeyer degli operatori generalizzati di Favard e proviamo i teoremi inversi di approssimazione per funzioni \(f\) tali che \(w_{2m} f \in L^p (R)\), dove \(1\leq p \leq \infty\) e \(w_{2m}(x)=(1+ x^{2m})^{-1}\), m∈N0. 
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Grzegorz, Nowak. Inverse results for generalized Favard-Kantorovich and Favard-Durrmeyer operators in weighted function spaces. Bollettino della Unione matematica italiana, Série 8, 9B (2006) no. 1, pp. 183-195. https://geodesic-test.mathdoc.fr/item/BUMI_2006_8_9B_1_a8/

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