We study a nonlinear version of the classical generalized sampling series within the space of functions of bounded variation. In particular, by means of such operators, in the case of kernels of product and averaged type, we obtain a variation-diminishing type estimate and a convergence result. The problem of the rate of approximation is also addressed.
Approximation methods in BV for nonlinear generalized sampling series
Angeloni L.
;Vici F.
2025
Abstract
We study a nonlinear version of the classical generalized sampling series within the space of functions of bounded variation. In particular, by means of such operators, in the case of kernels of product and averaged type, we obtain a variation-diminishing type estimate and a convergence result. The problem of the rate of approximation is also addressed.File in questo prodotto:
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