| dc.creator |
Kişi, Ömer |
|
| dc.creator |
Çakal, Burak |
|
| dc.creator |
GÜRDAL, Mehmet |
|
| dc.date |
2024-04-01T00:00:00Z |
|
| dc.date.accessioned |
2025-02-25T10:33:38Z |
|
| dc.date.available |
2025-02-25T10:33:38Z |
|
| dc.identifier |
8998d016-e1ef-484f-9f26-b2bbfc92b970 |
|
| dc.identifier |
10.7153/jca-2024-24-06 |
|
| dc.identifier |
https://avesis.sdu.edu.tr/publication/details/8998d016-e1ef-484f-9f26-b2bbfc92b970/oai |
|
| dc.identifier.uri |
http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/100448 |
|
| dc.description |
In this study, we explore the concept of lacunary Iσ-convergence of sequences and analyze the relationships between this new convergence concept and the notions of lacunary invariant summability, lacunary strongly s-invariant summability, and lacunary σ-statistical convergence, all of which are defined within quaternion-valued generalized metric spaces. Additionally, our paper aims to introduce the concepts of lacunary Iσ∗-convergence in quaternion-valued generalized metric spaces. We then establish the equivalence between lacunary Iσ-convergence and lacunary Iσ∗-convergence by providing the definition of property (AP). Furthermore,we introduce lacunary Iσ-Cauchy and lacunary Iσ∗-Cauchy sequences, adapting classical theorems to quaternion-valued generalized metric spaces. |
|
| dc.language |
eng |
|
| dc.rights |
info:eu-repo/semantics/closedAccess |
|
| dc.title |
ON LACUNARY I –INVARIANT CONVERGENCE OF SEQUENCES IN QUATERNION–VALUED GENERALIZED METRIC SPACES |
|
| dc.type |
info:eu-repo/semantics/article |
|