Geodesic
Properties of a new class of recursively defined Baskakov-type operators
Archivum mathematicum, Tome 34 (1998) no. 3, pp. 353-359

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By starting from a recent paper by Campiti and Metafune [7], we consider a generalization of the Baskakov operators, which is introduced by replacing the binomial coefficients with other coefficients defined recursively by means of two fixed sequences of real numbers. In this paper, we indicate some of their properties, including a decomposition into an expression which depends linearly on the fixed sequences and an estimation of the corresponding order of approximation, in terms of the modulus of continuity.
By starting from a recent paper by Campiti and Metafune [7], we consider a generalization of the Baskakov operators, which is introduced by replacing the binomial coefficients with other coefficients defined recursively by means of two fixed sequences of real numbers. In this paper, we indicate some of their properties, including a decomposition into an expression which depends linearly on the fixed sequences and an estimation of the corresponding order of approximation, in terms of the modulus of continuity.
Classification : 26D15, 41A25, 41A35, 41A36
Keywords: Baskakov-type operators; order of approximation; modulus of continuity 
Agratini, Octavian. Properties of a new class of recursively defined Baskakov-type operators. Archivum mathematicum, Tome 34 (1998) no. 3, pp. 353-359. http://geodesic.mathdoc.fr/item/ARM_1998_34_3_a3/
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     title = {Properties of a new class of recursively defined {Baskakov-type} operators},
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     volume = {34},
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     zbl = {0966.41013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_1998_34_3_a3/}
}
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