Approximation by sampling type discrete operators
In this paper, we deal with discrete operators of sampling type. It is known that this type of operators are related to generalized sampling series and they have important applications. In this work, using bounded and uniformly continuous functions we get general estimations under usual supremum nor...
Gespeichert in:
Veröffentlicht in: | Communications Series A1 Mathematics & Statistics 2020-01, Vol.69 (1), p.969-980 |
---|---|
1. Verfasser: | |
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
Zusammenfassung: | In this paper, we deal with discrete operators of sampling type.
It is known that this type of operators are related to generalized sampling
series and they have important applications. In this work, using bounded
and uniformly continuous functions we get general estimations under usual
supremum norm with the help of summability method. We also study the
degree of approximation with respect to suitable Lipschitz class of continuous
functions. Finally, we give speci
c kernels which verify our kernel assumptions. |
---|---|
ISSN: | 1303-5991 |
DOI: | 10.31801/cfsuasmas.671237 |