An Inverse Result of Approximation by Sampling Kantorovich Series

In the present paper, an inverse result of approximation, i.e. a saturation theorem for the sampling Kantorovich operators, is derived in the case of uniform approximation for uniformly continuous and bounded functions on the whole real line. In particular, we prove that the best possible order of a...

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Veröffentlicht in:	Proceedings of the Edinburgh Mathematical Society 2019-02, Vol.62 (1), p.265-280
Hauptverfasser:	Costarelli, Danilo, Vinti, Gianluca
Format:	Artikel
Sprache:	eng
Schlagworte:	Approximation Continuity (mathematics) Mathematical analysis Operators (mathematics) Representations Sampling
Online-Zugang:	Volltext
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