Inverse results for generalized Favard-Kantorovich and Favard-Durrmeyer operators in weighted function spaces
Grzegorz, Nowak
Bollettino dell'Unione Matematica Italiana, Tome 9-A (2006), p. 183-195 / Harvested from Biblioteca Digitale Italiana di Matematica
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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 w2⁢m⁢f∈Lp⁢(R), where 1≤p≤∞ and w2⁢m⁢(x)=(1+x2⁢m)-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 w2⁢m⁢f∈Lp⁢(R), dove 1≤p≤∞ e w2⁢m⁢(x)=(1+x2⁢m)-1, m∈N0.

Publié le : 2006-02-01
@article{BUMI_2006_8_9B_1_183_0,
     author = {Nowak Grzegorz},
     title = {Inverse results for generalized Favard-Kantorovich and Favard-Durrmeyer operators in weighted function spaces},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {9-A},
     year = {2006},
     pages = {183-195},
     zbl = {1150.41016},
     mrnumber = {2204906},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_2006_8_9B_1_183_0}
}

Grzegorz, Nowak. Inverse results for generalized Favard-Kantorovich and Favard-Durrmeyer operators in weighted function spaces. Bollettino dell'Unione Matematica Italiana, Tome 9-A (2006) pp. 183-195. http://gdmltest.u-ga.fr/item/BUMI_2006_8_9B_1_183_0/

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