Geodesic
Asymptotic Formulae for Recursively Defined Baskakov-type Operators
Publications de l'Institut Mathématique, _N_S_63 (1998) no. 77, p. 152

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We deal with Baskakov-type operators which are defined by replacing the binomial coefficients with general ones satisfying a recursively relation. We establish a Voronovskaja-type formula and also we give a global approximation property using some weighted norms.
Classification : 41A35 26A15
Keywords: Baskakov-type operators, degree of approximation, Voronovskaya-type formula, weighted norms 
@article{PIM_1998_N_S_63_77_a16,
     author = {O. Agratini},
     title = {Asymptotic {Formulae} for {Recursively} {Defined} {Baskakov-type} {Operators}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {152 },
     publisher = {mathdoc},
     volume = {_N_S_63},
     number = {77},
     year = {1998},
     zbl = {1009.41017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1998_N_S_63_77_a16/}
}
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O. Agratini. Asymptotic Formulae for Recursively Defined Baskakov-type Operators. Publications de l'Institut Mathématique, _N_S_63 (1998) no. 77, p. 152 . http://geodesic.mathdoc.fr/item/PIM_1998_N_S_63_77_a16/