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arXiv · 1609.02757

A generalization of the exponential sampling series and its approximation properties

Carlo Bardaro·Loris Faina·Ilaria Mantellini
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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.

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Carlo Bardaro, Loris Faina, Ilaria Mantellini. 2016-09-09. A generalization of the exponential sampling series and its approximation properties. https://arxiv.org/abs/1609.02757

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