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Öğe Korovkin-type Approximation Theorem for Bernstein Stancu Operator of Rough Statistical Convergence of Triple Sequence(Soc Paranaense Matematica, 2020) Esi, Ayten; Ozdemir, M. Kemal; Subramanian, NagarajanWe obtain a Korovkin-type approximation theorem for Bernstein Stancu polynomials of rough statistical convergence of triple sequences of positive linear operators of three variables from H-omega (K) to C-B (K), where K = [0, infinity) x [0, infinity) x [0, infinity) and omega is non-negative increasing function on K.Öğe On rough convergence of triple sequences(Amer Inst Physics, 2019) Esi, Ayhan; Subramanian, Nagarajan; Ozdemir, M. KemalIn this paper we define and study rough convergence of triple sequences, the set of rough limit points of a triple sequence. Also we investigate the relations between the set of cluster points and the set of rough limit points of a triple sequence.Öğe The (p, q)-Bernstein-Stancu Operator of Rough Statistical Convergence on Triple Sequence(Soc Paranaense Matematica, 2020) Esi, Ayten; Ozdemir, M. Kemal; Subramanian, NagarajanIn the paper, we investigate rough statistical approximation properties of (p, q)-analogue of Bernstein-Stancu Operators. We study approximation properties based on rough statistical convergence. We also study error bound using modulus of continuity.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 convergence of Bernstein fuzzy I-convergent of ?f(?,p)3I(F) space defined by Orlicz function(Ios Press, 2019) Ozdemir, M. Kemal; Esi, Ayhan; Subramanian, NagarajanThere are several notions of convergence of fuzzy number sequences in the literature. The aim of this paper is to introduce and study a new concept of the rough fuzzy ideal convergent triple sequences defined by Orlicz function. Also, some topological properties of the resulting sequence spaces of rough fuzzy numbers were examined.Öğe Triple sequence spaces of intuitionistic rough I-convergence defined by compact Bernstein operator(Amer Inst Physics, 2019) Esi, Ayhan; Subramanian, Nagarajan; Ozdemir, M. KemalThe aim of this paper is to introduce the triple sequence spaces of intuitionistic rough I-convergent of B-Lambda 3(mu,B-gamma) (f, x, T) and B-chi 3(mu,B-gamma) (f, x, T) are defined by compact Bernstein operator and study the topology general properties.
