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Convergence of semi-discrete exponential sampling operators in Mellin–Lebesgue spaces

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Abstract

In this paper we study the convergence properties of certain semi-discrete exponential-type sampling series in Mellin–Lebesgue spaces. Also we examine some examples which illustrate the theory developed.

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Acknowledgements

We wish to thank the referees for their comments which improved the presentation of the paper. Carlo Bardaro and Ilaria Mantellini have been partially supported by the “Gruppo Nazionale per l’Analisi Matematica e Applicazioni (GNAMPA)” of the “Istituto di Alta Matematica (INDAM)” as well as by the projects “Ricerca di Base 2019 of University of Perugia (title: Misura, Integrazione, Approssimazione e loro Applicazioni)” and “Progetto Fondazione Cassa di Risparmio cod. nr. 2018.0419.021 (title: Metodi e Processi di Intelligenza artificiale per lo sviluppo di una banca di immagini mediche per fini diagnostici (B.I.M.))’

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Author notes

  1. Ilaria Mantellini and Ilenia Tittarelli have contributed equally to this work.

Authors and Affiliations

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

    Carlo Bardaro, Ilaria Mantellini & Ilenia Tittarelli

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  1. Carlo Bardaro
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  2. Ilaria Mantellini
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  3. Ilenia Tittarelli
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Correspondence to Carlo Bardaro.

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Bardaro, C., Mantellini, I. & Tittarelli, I. Convergence of semi-discrete exponential sampling operators in Mellin–Lebesgue spaces. Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat. 117, 30 (2023). https://doi.org/10.1007/s13398-022-01367-6

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