In this paper we study norm-convergence to a function f of its generalized exponential sampling series in weighted Lebesgue spaces. Key roles are taken by a result on the norm-density of the test functions and the notion of bounded coarse variation. Some examples are described.
Exponential sampling series: convergence in Mellin-Lebesgue spaces
Carlo Bardaro
;Ilaria Mantellini;
2019
Abstract
In this paper we study norm-convergence to a function f of its generalized exponential sampling series in weighted Lebesgue spaces. Key roles are taken by a result on the norm-density of the test functions and the notion of bounded coarse variation. Some examples are described.File in questo prodotto:
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