An application of almost convergence in approximation theorems

An application of almost convergence in approximation theorems

The concept of almost convergence was introduced by Lorentz in 1948 [G.G. Lorentz, A contribution to theory of divergent sequences, Acta Math. 80 (1948) 167–190], and has various applications. In this work we apply this method to prove some Korovkin type approximation theorems.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Applied mathematics letters 2011-11, Vol.24 (11), p.1856-1860
1. Verfasser: Mohiuddine, S.A.
Format: Artikel
Sprache:eng
Schlagworte:
Almost convergence
Approximation
Banach limit
Convergence
Exact sciences and technology
Korovkin type approximation theorem
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Sciences and techniques of general use
Theorems
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:The concept of almost convergence was introduced by Lorentz in 1948 [G.G. Lorentz, A contribution to theory of divergent sequences, Acta Math. 80 (1948) 167–190], and has various applications. In this work we apply this method to prove some Korovkin type approximation theorems.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2011.05.006