Yazar "Ozdemir, M. Kemal" seçeneğine göre listele

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    The ? ?2?I statistical convergence of real numbers over Musielak p-metric space
    (Inst Advanced Science Extension, 2017) Ozdemir, M. Kemal; Nagarajan, Subramanian; Esi, Ayhan
    In this paper, we introduce the concepts of integral Gamma(2 lambda I) statistical convergence and strongly integral Gamma(2 lambda I) of real numbers. It is also shown that integral Gamma(2 lambda I) statistical convergence and strongly integral Gamma(2 lambda I) are equivalent for analytic sequences of real numbers. We introduce certain new double sequence spaces of integral Gamma(2 lambda I) of fuzzy real numbers defined by I - convergence using sequences of Musielak-Orlicz functions and also study some basic topological and algebraic properties of these spaces, investigate the inclusion relations between these spaces. (C) 2017 The Authors. Published by IASE. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
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    Asymptotically Double Lacunary Equivalent Sequences in Topological Groups
    (Prairie View A & M Univ, Dept Mathematics, 2015) Esi, Ayhan; Ozdemir, M. Kemal
    In this paper we study the concept of asymptotically double lacunary statistical convergent sequences in topological groups and prove some inclusion theorems.
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    Bernstein operator of rough J-core of triple sequences
    (E D P Sciences, 2018) Ozdemir, M. Kemal; Esi, Ayhan; Esi, Ayten
    We introduce and study some basic properties of Bernstein-Stancu polynomials of rough J-convergent of triple sequence spaces and also study the set of all Bernstein-Stancu polynomials of rough J-limits of a triple sequence spaces and relation between analytic ness and Bernstein-Stancu polynomials of rough J-core of a triple sequence spaces.
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    Generalized ?m-Statistical Convergence in Probabilistic Normed Space
    (Eudoxus Press, Llc, 2011) Esi, Ayhan; Ozdemir, M. Kemal
    In this paper we define the concepts of S-Delta m(lambda) -statistical convergence and S-Delta m(lambda) -statistically Cauchy in probabilistic normed space and give some results. The main purpose of this paper is to generalize the results on statistical convergence in probabilistic normed space given by Karakus [10] and Alotaibi [1] earlier.
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    I?-strongly summable sequence spaces in n-normed spaces defined by ideal convergence and an Orlicz function
    (Versita, 2013) Esi, Ayhan; Ozdemir, M. Kemal
    In this paper we introduce some certain new sequence spaces via ideal convergence, lambda-sequence and an Orlicz function in n-normed spaces and study different properties of these spaces and also establish some inclusion results among them.
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    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, Nagarajan
    We 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.
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    On rough convergence of triple sequences
    (Amer Inst Physics, 2019) Esi, Ayhan; Subramanian, Nagarajan; Ozdemir, M. Kemal
    In 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.
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    On rough convergence variables of triple sequences
    (E D P Sciences, 2018) Ozdemir, M. Kemal; Esi, Ayhan; Esi, Ayten
    Triple sequence convergence has an extremly important position in the basic theory of mathematics. The present manuscript contains four types of convergence concept of convergence almost surely, convergence incredibility, trust convergence in mean and convergence in distribution and discuss the relation ship among those and some mathematical properties of those new convergence.
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    On Some New Double Spaces of ?-convergent and ?-bounded Sequences defined by Orlicz function
    (Amer Inst Physics, 2013) Ozdemir, M. Kemal; Esi, Ayhan; Esi, Ayten
    In this paper, we introduce some new double sequence spaces defined by Orlicz function and study different properties of these spaces and also establish some inclusion results among them.
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    The (p, q)-Bernstein-Stancu Operator of Rough Statistical Convergence on Triple Sequence
    (Soc Paranaense Matematica, 2020) Esi, Ayten; Ozdemir, M. Kemal; Subramanian, Nagarajan
    In 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.
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    ROUGH ABEL STATISTICAL QUASI CAUCHY OF TRIPLE SEQUENCES
    (Editura Bibliotheca-Bibliotheca Publ House, 2021) Subramanian, Nagarajan; Esi, Ayhan; Ozdemir, M. Kemal
    In 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.
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    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, Nagarajan
    There 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.
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    Slowly oscillating sequences in locally normal Riesz spaces
    (Inst Advanced Science Extension, 2017) Hazarika, Bipan; Ozdemir, M. Kemal; Esi, Ayhan
    In the present paper, we are going to introduce and at the same time investigate the notion of slowly oscillating sequences, study on slowly oscillating compactness and slowly oscillating continuous functions in locally normal Riesz space. For this purpose, first of all, we are going to try to put forward some fundamental theorems about oscillating continuity, slowly oscillating compactness, sequential continuity and uniform continuity. Secondly, the newly obtained results in this paper can also be obtained with the definition of quasi-slowly oscillating and.-quasi-slowly oscillating sequences in terms of fuzzy points. Finally, most of the related theorems and lemmas are presented clearly. (C) 2017 The Authors. Published by IASE. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
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    Triple sequence spaces of intuitionistic rough I-convergence defined by compact Bernstein operator
    (Amer Inst Physics, 2019) Esi, Ayhan; Subramanian, Nagarajan; Ozdemir, M. Kemal
    The 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.