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Öğe On extremal rough i-convergence limit point of triple sequence spaces defined by a metric function(Korean Society for Computational and Applied Mathematics, 2020) Subramanian, Nagarajan; Esi, Ayhan; Debnath, ShyamalWe introduce and study some basic properties of rough I-convergent of triple sequence spaces and also study the set of all rough I-limits of a triple sequence spaces.Öğe On rough convergence variables of triple sequences(De Gruyter, 2020) Subramanian, Nagarajan; Esi, AyhanTriple sequence convergence plays an extremely important role in the fundamental theory of mathematics. This paper contains four types of convergence concepts, namely, convergence almost surely, convergence incredibility, trust convergence in mean, and convergence in distribution, and discuss the relationship among them and some mathematical properties of those new convergence.Öğe On the generating function for bernstein polynomials of triple sequences(Valahia University of Targoviste, 2021) Indumathi, Arulmani; Esi, Ayhan; Subramanian, NagarajanThe aim of this paper is to give main properties of the generating function of the Bernstein polynomials of triple sequence spaces. It was proved the recurrence relations and derivative formula for Bernstein polynomials of triple sequences. Further more, some new results are obtained by using this generating function of these polynomials.Öğe Rough variation on lacunary quasi Cauchy triple difference sequences(Walter de Gruyter, 2021) Subramanian, Nagarajan; Esi, AyhanIn the present paper, we extend the notion of rough ideal lacunary statistical quasi Cauchy triple difference sequence of order ? using the concept of ideals, which automatically extends the earlier notions of rough convergence and rough statistical convergence. We prove several results associated with this notion.