In this paper, we study the order of approximation with respect to the Jordan variation for the generalized and the Kantorovich sampling series, based upon averaged type kernels. In particular, we establish some quantitative estimates for the above operators. For the latter purpose, we introduce a suitable modulus of smoothness in the space of absolutely continuous functions on the whole real line.

Quantitative estimates for sampling type operators with respect to the Jordan variation

Laura Angeloni;Danilo Costarelli;Gianluca Vinti
2020

Abstract

In this paper, we study the order of approximation with respect to the Jordan variation for the generalized and the Kantorovich sampling series, based upon averaged type kernels. In particular, we establish some quantitative estimates for the above operators. For the latter purpose, we introduce a suitable modulus of smoothness in the space of absolutely continuous functions on the whole real line.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/1455554
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