Relative uniform convergence of a sequence of functions at a point and Korovkin-type approximation theorems

Relative uniform convergence of a sequence of functions at a point and Korovkin-type approximation theorems

We prove a Korovkin-type approximation theorem using the relative uniform convergence of a sequence of functions at a point, which is a method stronger than the classical ones. We give some examples on this new convergence method and we study also rates of convergence.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Positivity : an international journal devoted to the theory and applications of positivity in analysis 2020-02, Vol.24 (1), p.1-11
Hauptverfasser: Demirci, Kamil, Boccuto, Antonio, Yıldız, Sevda, Dirik, Fadime
Format: Artikel
Sprache:eng
Schlagworte:
Approximation
Calculus of Variations and Optimal Control
Optimization
Convergence
Econometrics
Fourier Analysis
Mathematical analysis
Mathematics
Mathematics and Statistics
Operator Theory
Potential Theory
Theorems
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We prove a Korovkin-type approximation theorem using the relative uniform convergence of a sequence of functions at a point, which is a method stronger than the classical ones. We give some examples on this new convergence method and we study also rates of convergence.
ISSN:1385-1292
1572-9281
DOI:10.1007/s11117-019-00656-6