Grzegorz, Nowak:
Inverse results for generalized Favard-Kantorovich and Favard-Durrmeyer operators in weighted function spaces
Bollettino dell'Unione Matematica Italiana Serie 8 9-B (2006), fasc. n.1, p. 183-195, (English)
pdf (407 Kb), djvu (112 Kb). | MR 2204906 | Zbl 1150.41016
Sunto
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 \(w_{2m}(x)=(1+ x^{2m})^{-1}\), $m \in N_0$.
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