Triangular ideal relative convergence on modular spaces and Korovkin theorems

Cinar, SelinYildiz, Sevda2025-03-232025-03-2320230252-19382065-961Xhttps://doi.org/10.24193/subbmath.2023.4.17https://hdl.handle.net/11486/4826In this paper, we introduce the concept of triangular ideal relative convergence for double sequences of functions defined on a modular space. Based upon this new convergence method, we prove Korovkin theorems. Then, we construct an example such that our new approximation results work. Finally, we discuss the reduced results which are obtained by special choices.eninfo:eu-repo/semantics/openAccessPositive linear operatorsthe double sequencestriangular ideal relative modular convergenceKorovkin theoremTriangular ideal relative convergence on modular spaces and Korovkin theoremsArticle68490792410.24193/subbmath.2023.4.172-s2.0-85193039349Q4WOS:001124727800015N/A