Ö. Kiși†, C. Choudhury‡
Abstract: In the present article, we set forth with the new notion of rough λ−statistical convergence in the gradual normed linear spaces. We produce significant results that present several fundamental properties of this notion. We also introduce the notion of λr st(G)−limit set and prove that it is convex, gradually closed, and plays an important role for the gradually λ−statistical boundedness of a sequence.
MSC: 03E72, 40A35, 40A05.
keywords: Gradual number, gradual normed linear space, λ−density, λr st(G)−convergence, λr st(G)−limit set.
DOI 10.56082/annalsarscimath.2023.1-2.520
†okisi@bartin.edu.tr, Department of Mathematics, Bartin University, Bartin, Turkey;
‡chiranjibchoudhury123@gmail.com, chiranjib.mathematics@tripurauniv.in, Department of Mathematics, Tripura University, Suryamaninagar‑799022, India
PUBLISHED in Annals Academy of Romanian Scientists Series on Mathematics and Its Application, Volume 15 no 1-2, 2023
