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
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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},
     year = {2006},
     volume = {Ser. 8, 9B},
     number = {1},
     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/