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Mathematica Slovaca

Editor-in-Chief: Pulmannová, Sylvia

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Volume 67, Issue 6


A generalization of the exponential sampling series and its approximation properties

Carlo Bardaro / Loris Faina / Ilaria Mantellini
Published Online: 2017-11-30 | DOI: https://doi.org/10.1515/ms-2017-0064


Here we introduce a generalization of the exponential sampling series of optical physics and establish pointwise and uniform convergence theorem, also in a quantitative form. Moreover we compare the error of approximation for Mellin band-limited functions using both classical and generalized exponential sampling series.

MSC 2010: Primary 42C15; 46E22; Secondary 94A20

Keywords: Mellin transform; Mellin band-limited functions; Mellin derivatives; generalized exponential sampling


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About the article

Received: 2016-03-31

Accepted: 2017-02-23

Published Online: 2017-11-30

Published in Print: 2017-11-27

Citation Information: Mathematica Slovaca, Volume 67, Issue 6, Pages 1481–1496, ISSN (Online) 1337-2211, ISSN (Print) 0139-9918, DOI: https://doi.org/10.1515/ms-2017-0064.

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