On Deferred Statistical and Strong Deferred Cesàro Convergences of Sequences With Respect to A Modulus Function

Let f be any modulus function. We prove that the classes of strongly deferred Cesàro convergent sequences defined by f and deferred statistical convergent sequences are equivalent if the sequence is f-deferred uniformly integrable. Some converse inclusions are obtained when the modulus function f is...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Cumhuriyet Science Journal Jg. 44; H. 4; S. 753 - 757
Hauptverfasser:	Belen, Cemal, Yıldırım, Mustafa
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Sivas Cumhuriyet Üniversitesi 28.12.2023
Schlagworte:	compatible modulus function deferred statistical convergence strong deferred convergence uniformly integrable sequence
ISSN:	2587-2680
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	Let f be any modulus function. We prove that the classes of strongly deferred Cesàro convergent sequences defined by f and deferred statistical convergent sequences are equivalent if the sequence is f-deferred uniformly integrable. Some converse inclusions are obtained when the modulus function f is compatible. Finally, for any compatible modulus f, we prove that any sequence is f-strongly deferred Cesàro convergent if and ony if it is deferred f-statistically convergent and deferred uniformly integrable.
ISSN:	2587-2680
DOI:	10.17776/csj.1334082