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Asymptotic expansion of multivariate Kantorovich type operators |
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| Authors: | Antonio-Jesús López-Moreno Francisco-Javier Muñoz-Delgado |
| Affiliation: | (1) Department of Mathematics, University of Jaén, Campus Las Lagunillas, 23071 Jaén, Spain |
| Abstract: | In this paper we study the asymptotic expansion of sequences of multivariate Kantorovich type operators and their partial derivatives. In particular, we obtain the complete expansion for the Kantorovich Bernstein operators on the simplex and for two Kantorovich type modifications of the Bleimann, Butzer and Hahn operators that we introduce in the paper.AMS subject classification 41A36 |
| Keywords: | asymptotic expansion Voronovskaja formula Kantorovich operators simultaneous approximation multivariate approximation |
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