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.

A generalization of the exponential sampling series and its approximation properties

Carlo Bardaro
;
Loris Faina;Ilaria Mantellini
2017

Abstract

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.
2017
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/1421918
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