Asymptotic formulae for multivariate Kantorovich type generalized sampling series |
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| Authors: | Carlo Bardaro Ilaria Mantellini |
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| Institution: | Dipartimento di Matematica e Informatica, Universitd di Perugia, Via Vanvitelli 1, 06123, Perugia, Italy |
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| Abstract: | In this paper an asymptotic formula of Voronovskaja type for a multivariate extension of the Kantorovich generalized sampling
series is given. Moreover a quantitative version in terms of some moduli of smoothness is established. Finally some particular
examples of kernels are discussed, as the Bochner-Riesz kernel and the multivariate splines. |
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| Keywords: | Voronovskaja-type formula moments multivariate Kantorovich generalized sampling series Peetre K-functional |
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