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On Pointwise Approximation Properties of Multivariate Semi-discrete Sampling Type Operators

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Abstract

In this paper multivariate extensions of the generalized Durrmeyer sampling type series are considered. We establish a Voronovskaja type formula and a quantitative version. Finally some particular examples are discussed.

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  1. Department of Mathematics and Informatics, University of Perugia, Via Vanvitelli 1, 06123, Perugia, Italy

    Carlo Bardaro & Ilaria Mantellini

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  1. Carlo Bardaro
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  2. Ilaria Mantellini
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Correspondence to Ilaria Mantellini.

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Bardaro, C., Mantellini, I. On Pointwise Approximation Properties of Multivariate Semi-discrete Sampling Type Operators. Results Math 72, 1449–1472 (2017). https://doi.org/10.1007/s00025-017-0667-7

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  • DOI: https://doi.org/10.1007/s00025-017-0667-7

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