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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 On triple sequence space of bernstein stancu cheney and sharma operator of rough iλ-convergence of weight G(Publishing House of the Romanian Academy, 2021) Indumathi, Arulmani; Esi, Ayhan; Subramanian, NagarajanWe introduce and study some basic properties of rough Iλ-convergence of weight g, where g: ℕ3 → [0, ∞) is a function statisying g (n) → ∞ and g (n) ↛ 0 as n → ∞ of a triple sequence of Bernstein Stancu Cheney and Sharma operators and also investigate certain properties of rough Iλ-convergence of weight g. © 2021, Publishing House of the Romanian Academy. All rights reserved.Öğe ROUGH ABEL STATISTICAL QUASI CAUCHY OF TRIPLE SEQUENCES(Editura Bibliotheca-Bibliotheca Publ House, 2021) Subramanian, Nagarajan; Esi, Ayhan; Ozdemir, M. KemalIn this paper, we investigated some basic properties of rough I-convergence of a triple sequence spaces of fuzzy in three dimensional matrix spaces which are not earlier. In addition, it was studied the set of all rough I-limits of a triple sequence spaces and also the relation between analytic ness and rough I-core of a triple sequence spaces.Öğe Rough I-Convergence on Triple Bernstein Operator Sequences(Southeast Asian Mathematical Soc-Seams, 2020) Subramanian, Nagarajan; Esi, Ayten; Esi, AyhanWe introduce and study some basic properties of rough I-convergent of triple sequence of Bernstein polynomials and also study the set of all rough I-limits of a triple sequence of Bernstein polynomials and relation between analytic ness and rough I-statistical convergence of a triple sequences of Bernstein polynomials.Öğe ROUGH LACUNARY STATISTICAL ANALYSIS OF ORDER n OF TRIPLE DIFFERENCE SEQUENCE SPACES(Editura Bibliotheca-Bibliotheca Publ House, 2024) Subramanian, Nagarajan; Esi, AyhanWe generalized the concepts in the probability of rough lacunary statistical analysis of order n by introducing the difference operator A y of fractional order, where a is a proper fraction and y = ( y mnk ) is any fixed sequence of nonzero real or complex numbers. We study some properties of this operator involving lacunary sequence 8 and arbitrary sequence p = ( p rst ) of strictly positive real numbers and investigate the topological structures of related with triple difference sequence spaces. The main focus of the present paper is to generalize rough lacunary statistical analysis of order n of triple difference sequence spaces and give the relations between statistical analysis and lacunary statistical analysis of order n .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.Öğe Statistical Convergence for Uncertain Triple Sequences of Fuzzy Numbers(Soc Paranaense Matematica, 2026) Hossain, Nesar; Esi, Ayhan; Subramanian, NagarajanThis paper introduces the notion of statistical convergence for uncertain triple sequences of fuzzy numbers. We examine several associated types of convergence, including convergence in measure, in mean, in almost surely, and uniformly almost surely. Moreover, illustrative examples were provided to clarify the relationships and distinctions among these different types of convergence.Öğe The Domain of A Regular Tribonacci Matrix Defined by Triple Sequence Spaces of $S_{3}^{3}$(Mehmet Zeki SARIKAYA, 2026) Esi, Ayhan; Subramanian, Nagarajan; Özdemir, Mustafa Kemal; Manivannan, Kaliappan[Abstract Not Available]Öğe The Domain of A Regular Tribonacci Matrix Defined by Triple Sequence Spaces of S33(Prof. Dr. Mehmet Zeki SARIKAYA, 2026) Esi, Ayhan; Subramanian, Nagarajan; Ozdemir, M. Kemal; Manivannan, KaliappanIn this article we introduce Tribonacci sequence spaces S33 (T) derived by the domain of a newly defined regular Tribonacci matrix. We give some topological properties inclusion relation obtain the Schauder basis and determine the various duals of the new spaces. Finally, we give some geometric properties of the space S33 (T). © 2026, Prof. Dr. Mehmet Zeki SARIKAYA. All rights reserved.Öğe The Triple Difference Operator of Binomial Poisson Matrix of Fractional(Hüseyin ÇAKALLI, 2026) Priya, C.; Subramanian, Nagarajan; Esi, Ayhan; Özdemir, Mustafa Kemal[Abstract Not Available]
