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A generalization of the exponential sampling series and its approximation properties
Carlo Bardaro, Loris Faina, Ilaria Mantellini
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. Moreo…
Multivariate semi-discrete sampling type operators: pointwise approximation properties
Carlo Bardaro, Ilaria Mantellini
In this paper multivariate extension of the generalized Durrmeyer sampling type series are considered. We establish a Voronovskaja type formula and a quantitative version. Finally…
Mellin Analysis and its distance concept. Applications to sampling theory
Carlo Bardaro, Paul L. Butzer, Ilaria Mantellini +1
In this paper a notion of functional "distance" in the Mellin transform setting is introduced and a general representation formula is obtained for it. Also, a determination of the…