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 provenant de la source 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 \(w_{2m}(x)=(1+ x^{2m})^{-1}\), $m \in N_0$. 
@article{BUMI_2006_8_9B_1_a8,
     author = {Grzegorz, Nowak},
     title = {Inverse results for generalized {Favard-Kantorovich} and {Favard-Durrmeyer} operators in weighted function spaces},
     journal = {Bollettino della Unione matematica italiana},
     pages = {183--195},
     publisher = {mathdoc},
     volume = {Ser. 8, 9B},
     number = {1},
     year = {2006},
     zbl = {1150.41016},
     mrnumber = {2204906},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2006_8_9B_1_a8/}
}
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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. http://geodesic.mathdoc.fr/item/BUMI_2006_8_9B_1_a8/