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

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

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 s...

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Veröffentlicht in:Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni 2020-01, Vol.31 (2), p.269-284
Hauptverfasser: Angeloni, Laura, Costarelli, Danilo, Vinti, Gianluca
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Approximations and expansions
Numerical analysis
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Zusammenfassung: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.
ISSN:1120-6330
1720-0768
DOI:10.4171/RLM/890