Approximation in Banach space by linear positive operators

Approximation in Banach space by linear positive operators

In this paper, we obtain a sufficient condition for the convergence of positive linear operators in Banach function spaces on R n and derive a Korovkin type theorem for these spaces. Also, we generalized this result via statistical sense.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Positivity : an international journal devoted to the theory and applications of positivity in analysis 2014-09, Vol.18 (3), p.585-594
Hauptverfasser: Ghorbanalizadeh, Arash, Sawano, Yoshihiro
Format: Artikel
Sprache:eng
Schlagworte:
Approximation
Banach spaces
Calculus of Variations and Optimal Control
Optimization
Econometrics
Fourier Analysis
Mathematical analysis
Mathematical functions
Mathematics
Mathematics and Statistics
Operator Theory
Potential Theory
Studies
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this paper, we obtain a sufficient condition for the convergence of positive linear operators in Banach function spaces on R n and derive a Korovkin type theorem for these spaces. Also, we generalized this result via statistical sense.
ISSN:1385-1292
1572-9281
DOI:10.1007/s11117-013-0264-2