Dutta, SudiptaAkdag, SevdaDas, Pratulananda2025-03-232025-03-2320160354-5180https://doi.org/10.2298/FIL1610663Dhttps://hdl.handle.net/11486/4849In this paper we consider the notion of A(2)(I)-summability for real double sequences which is an extension of the notion of A(I)-summability for real single sequences introduced by Savas, Das and Dutta. We primarily apply this new notion to prove a Korovkin type approximation theorem. In the last section, we study the rate of A(2)(I)-summability.eninfo:eu-repo/semantics/openAccessIdealA(2)(I)-summablePositive linear operatorKorovkin type approximation theoremRate of convergenceArticle30102663267210.2298/FIL1610663D2-s2.0-85006265952Q3WOS:000393211700006Q2