ℐ-αβ-statistical relative uniform convergence for double sequences and its applications
| dc.contributor.author | Bayram, Nilay Sahin | |
| dc.contributor.author | Yildiz, Sevda | |
| dc.date.accessioned | 2026-04-25T14:20:19Z | |
| dc.date.available | 2026-04-25T14:20:19Z | |
| dc.date.issued | 2025 | |
| dc.department | Sinop Üniversitesi | |
| dc.description.abstract | This article introduces a novel concept of convergence, referred to as & Iscr; {\mathcal{ {\mathcal I} }} - alpha beta \alpha \beta -statistical relative uniform convergence, for double sequences of functions. This notion, which is proposed for the first time in this article, is explored in depth, leading to the establishment of a Korovkin-type approximation theorem within this framework. The illustrative example demonstrates that the proposed convergence is indeed stronger than previously known forms. Additionally, this article investigates the rate of & Iscr; 2 {{\mathcal{ {\mathcal I} }}}_{2} - alpha beta \alpha \beta -statistical relative uniform convergence, providing explicit computations to support the findings. The results contribute to the understanding of ideal statistical convergence and open up new perspectives for approximation theory. | |
| dc.identifier.doi | 10.1515/dema-2025-0163 | |
| dc.identifier.issn | 0420-1213 | |
| dc.identifier.issn | 2391-4661 | |
| dc.identifier.issue | 1 | |
| dc.identifier.orcid | 0000-0002-4730-2271 | |
| dc.identifier.scopus | 2-s2.0-105018832897 | |
| dc.identifier.scopusquality | Q1 | |
| dc.identifier.uri | https://doi.org/10.1515/dema-2025-0163 | |
| dc.identifier.uri | https://hdl.handle.net/11486/8509 | |
| dc.identifier.volume | 58 | |
| dc.identifier.wos | WOS:001586397000001 | |
| dc.identifier.wosquality | Q1 | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.language.iso | en | |
| dc.publisher | De Gruyter Poland Sp Z O O | |
| dc.relation.ispartof | Demonstratio Mathematica | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.snmz | KA_WOS_20260420 | |
| dc.subject | Korovkin-type theorem | |
| dc.subject | positive linear operator | |
| dc.subject | ideal relative convergence for double sequences | |
| dc.title | ℐ-αβ-statistical relative uniform convergence for double sequences and its applications | |
| dc.type | Article |
