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On Linear Combinations of General Exponential Sampling Series

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Abstract

Here we give asymptotic formulae of Voronovskaja type for linear combinations of exponential sampling series. Moreover we give a quantitative version in terms of some moduli of smoothness. Some examples are given.

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Acknowledgements

The authors express their thanks to Prof. Carlo Bardaro for his support and suggestion on the subject.

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

    Simona Balsamo & Ilaria Mantellini

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  1. Simona Balsamo
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  2. Ilaria Mantellini
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Correspondence to Ilaria Mantellini.

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Ilaria Mantellini has been partially supported by the “Gruppo Nazionale per l’Analisi Matematica e Applicazioni” (GNAMPA) of the “Istituto Nazionale di Alta Matematica” (INDAM) as well as by the Project “Serie sampling generalizzate e loro proprietá di convergenza” funded by “Ricerca di Base 2015” of the University of Perugia.

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Balsamo, S., Mantellini, I. On Linear Combinations of General Exponential Sampling Series. Results Math 74, 180 (2019). https://doi.org/10.1007/s00025-019-1104-x

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