Bayram, Nilay SahinYildiz, Sevda2026-04-252026-04-2520250420-12132391-4661https://doi.org/10.1515/dema-2025-0163https://hdl.handle.net/11486/8509This 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.eninfo:eu-repo/semantics/openAccessKorovkin-type theorempositive linear operatorideal relative convergence for double sequencesArticle58110.1515/dema-2025-01632-s2.0-105018832897Q1WOS:001586397000001Q10000-0002-4730-2271