Properties of a new class of recursively defined Baskakov-type operators


Bu 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.


Octavian Agratini
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania


Baskakov-type operators; order of approximation; modulus of continuity.

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O. Agratini, Properties of a new class of recursively defined Baskakov-type operators, Archivum Mathematicum, 34 (1998) no. 3, pp. 353-359.


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Archivum Mathematicum

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Masaryk University

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