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A generalization of the exponential sampling series and its approximation properties

In: Mathematica Slovaca, vol. 67, no. 6
Carlo Bardaro - Loris Faina - Ilaria Mantellini
Detaily:
Rok, strany: 2017, 1481 - 1496
Kľúčové slová:
Mellin transform, Mellin band-limited functions, Mellin derivatives, generalized exponential sampling
O článku:
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.
Ako citovať:
ISO 690:
Bardaro, C., Faina, L., Mantellini, I. 2017. A generalization of the exponential sampling series and its approximation properties. In Mathematica Slovaca, vol. 67, no.6, pp. 1481-1496. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0064

APA:
Bardaro, C., Faina, L., Mantellini, I. (2017). A generalization of the exponential sampling series and its approximation properties. Mathematica Slovaca, 67(6), 1481-1496. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0064
O vydaní:
Publikované: 27. 11. 2017