Yazar "Et, Mikail" seçeneğine göre listele

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    A variation on lacunary quasi Cauchy sequences
    (Amer Inst Physics, 2016) Cakalli, Huseyin; Et, Mikail; Sengul, Hacer
    In the present paper, we introduce a concept of ideal lacunary statistical quasi-Cauchy sequence of order alpha of real numbers in the sense that a sequence (x(k)) of points in R is called I lacunary statistically quasi-Cauchy of order alpha, if {r is an element of N : 1/h(r)(a) vertical bar Delta x(k)vertical bar >= epsilon vertical bar >= epsilon vertical bar >= delta}is an element of I for each epsilon > 0 and for each delta > 0, where an ideal I is a family of subsets of positive integers N which is closed under taking finite unions and subsets of its elements. The main purpose of this paper is to investigate ideal lacunary statistical ward continuity of order alpha, where a function f is called I lacunary statistically ward continuous of order alpha if it preserves I-lacunary statistically quasi-Cauchy sequences of order alpha, i.e. (f(x(n))) is a s(theta)(alpha)(I)-quasi-Cauchy sequence whenever (x(n)) is.
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    Almost ?r-Statistical and Strongly Almost ?r-Convergence of Order ? of Sequences of Fuzzy Numbers
    (Hindawi Ltd, 2015) Isik, Mahmut; Et, Mikail
    The main purpose of this article is to introduce the concepts of almost lambda(r)-statistical convergence and strongly almost lambda(r)-convergence of order beta of sequences of fuzzy numbers with respect to an Orlicz function. We give some relations between strongly almost lambda(r)-convergence and almost lambda(r)-statistical convergence of order beta of sequences of fuzzy numbers.
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    f- Lacunary Statistical Convergence Of Order (?,?)
    (Amer Inst Physics, 2017) Sengul, Hacer; Isik, Mahmut; Et, Mikail
    The main purpose of this paper is to introduce the concepts of f-lacunary statistical convergence of order (alpha,beta) and strong f-lacunary summability of order (alpha,beta) of sequences of real numbers for 0 < alpha <= beta <= 1, where f is an unbounded modulus.
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    Generalized Weighted Statistical Convergence of Double Sequences and Applications
    (Univ Nis, Fac Sci Math, 2016) Cinar, Muhammed; Et, Mikail
    In this paper we introduce the concept generalized weighted statistical convergence of double sequences. Some relations between weighted (lambda, mu)-statistical convergence and strong ((N) over bar (lambda mu), p,q,alpha,beta)-summablity of double sequences are examined. Furthemore, we apply our new summability method to prove a Korovkin type theorem.
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    Lacunary Statistical Convergence and Strongly Lacunary Summable Functions of Order ?
    (Univ Nis, Fac Sci Math, 2017) Srivastava, H. M.; Et, Mikail
    The main purpose of this paper is to introduce and investigate the concepts of lacunary strong summability of order alpha and lacunary statistical convergence of order alpha of real-valued functions which are measurable (in the Lebesgue sense) in the interval (1,infinity). Some relations between lacunary statistical convergence of order alpha and lacunary strong summability of order beta are also given.
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    ?m-Deferred Statistical Convergence of Order ?
    (Univ Nis, Fac Sci Math, 2016) Temizsu, Fatih; Et, Mikail; Cinar, Muhammed
    In this paper, we introduce the concepts of Delta(m)-deferred statistical convergence of order alpha and strong Delta(m)(r)-deferred Cesaro summability of order alpha of real sequences. Additionally, some inclusion relations about Delta(m)-deferred statistical convergence of order alpha and strong Delta(m)(r)-deferred Cesaro summability of order alpha are given.
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    New type of generalized difference sequence of fuzyy numbers involving lacunary sequences
    (IOS Press BV, 2015) Et, Mikail; Braha, Naim L.; Altnok, Hfs
    In this paper, we introduce a new type of almost statistical convergence of generalized difference sequences of fuzzy numbers involving lacunary sequences. We give the relations between the lacunary strongly almost Cesàro type convergence and lacunary almost statistical convergence. Furthermore, we study some of their properties like completeness, solidity, symmetricity etc. We also give some inclusion relations related to these classes. © 2015 - IOS Press and the authors. All rights reserved.
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    On (?, I)-Statistical Convergence of Order ? of Sequences of Function
    (Natl Acad Sciences India, 2018) Sengul, Hacer; Et, Mikail
    In this paper, we introduce the concepts of pointwise (lambda, I)-statistical convergence of order alpha and pointwise w(p)(lambda, I)-summability of order alpha. Also some relations between pointwise (lambda, I)-statistical convergence of order alpha and pointwise w(p)(lambda, I)-summability of order alpha are given.
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    On (??m, I)-statistical convergence of order
    (Springer, 2015) Savas, Ekrem; Et, Mikail
    In this paper we introduce the concepts of (Delta(m)(lambda), I)-statistical convergence of order alpha and [V](p) (Delta(m)(lambda), I)-summability of order alpha of real sequences and investigated between their relationship.
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    ON (?m, I) - LACUNARY STATISTICAL CONVERGENCE OF ORDER ?
    (Univ Prishtines, 2016) Et, Mikail; Sengul, Hacer
    In this study, using the generalized difference operator Delta(m), we introduce the concepts of (Delta(m) , I) -lacunary statistical convergence of order alpha and lacunary strong Delta(m)(p)-summability of order alpha of sequences and give some relations about these concepts.
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    On ?-statistical boundedness of order ? of sequences of fuzzy numbers
    (Springer, 2015) Altinok, Hifsi; Et, Mikail
    In this paper, we introduce and examine the concept of lambda-statistical boundedness of order beta of sequences of fuzzy numbers and give some relations between statistical boundedness and lambda-statistical boundedness of order beta.
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    On asymptotically lacunary statistical equivalent of order a of difference sequences
    (Amer Inst Physics, 2015) Et, Mikail; Sengul, Hacer; Cinar, Muhammed
    In this study, we introduce and examine the concepts of 4-asymptotically statistical equivalent of order a and strong Delta(m)(theta) asymptotically equivalent of order a of sequences. Also, we give some relations connected to these concepts.
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    On I - Lacunary Statistical Convergence of Order ? of Sequences of Sets
    (Univ Nis, Fac Sci Math, 2017) Sengul, Hacer; Et, Mikail
    The idea of I-convergence of real sequences was introduced by Kostyrko et al. [Kostyrko, P.;. Salat, T. and Wilczynski, W. I-convergence, Real Anal. Exchange 26(2) (2000/2001), 669-686] and also independently by Nuray and Ruckle [Nuray, F. and Ruckle, W. H. Generalized statistical convergence and convergence free spaces, J. Math. Anal. Appl. 245(2) (2000), 513-527]. In this paper we introduce the concepts of Wijsman I-lacunary statistical convergence of order alpha and Wijsman strongly I-lacunary statistical convergence of order alpha, and investigated between their relationship.
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    ON LACUNARY STATISTICAL BOUNDEDNESS OF ORDER ?
    (Univ Nis, 2016) Et, Mikail; Mohiuddine, Syed A.; Sengul, Hacer
    The aim of this paper is to introduce and examine the concept of lacunary statistical boundedness of order alpha and give the relations between statistical boundedness and lacunary statistical boundedness of order alpha.
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    On Pointwise Lacunary Statistical Convergence of Order ? of Sequences of Function
    (Natl Acad Sciences India, 2015) Et, Mikail; Sengul, Hacer
    In this paper we introduce the concepts of pointwise lacunary statistical convergence of order alpha and pointwise w(p)(f, theta)-summability of order alpha of sequences of real valued functions. Also some relations between pointwise S-theta(f)(f)-statistical convergence and pointwise w(p)(alpha)(f, theta)-summability are given.
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    On some difference sequence spaces of fuzzy numbers
    (Springer, 2016) Et, Mikail; Savas, Ekrem; Altinok, Hifsi
    In this paper, using the difference operator of order m and a lacunary sequence , we introduce and examine some classes of sequences of fuzzy numbers. Furthermore, we study some of their properties like completeness, solidity, symmetricity and convergence free. We also give some inclusion relations related to these classes.
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    On some topological properties of a new type difference sequence spaces
    (Amer Inst Physics, 2015) Karakas, Abdulkadir; Altin, Yavuz; Et, Mikail
    We define the sequence spaces l(infinity) (Delta(p)), c (Delta(p)) and c(0) (Delta(p)), give some topological properties and inclusion relations of these sequence spaces.
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    ?pm-Statistical Convergence of Order ?
    (Amer Inst Physics, 2017) Karakas, Abdulkadir; Altin, Yavuz; Et, Mikail
    In this study using the generalized difference operator Delta(m), we generalize the concepts of statistical convergence sequences of order a and statistical Cauchy sequences of order alpha. It is shown that, Delta(m)(p)-statistically convergent sequences of order a and Delta(m)(p)-statistical Cauchy sequences of order a are equivalent.
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    Recent Developments on Summability Theory and Its Applications
    (Hindawi Ltd, 2015) Et, Mikail; Mursaleen, Mohammad; Mohiuddine, Syed Abdul; Isik, Mahmut; Connor, Jeff; Basar, Feyzi
    [Abstract Not Available]
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    Some Cesaro-Type Summability Spaces of Order ? and Lacunary Statistical Convergence of Order ?
    (Univ Nis, Fac Sci Math, 2014) Et, Mikail; Sengul, Hacer
    In the paper [32], we have defined the concepts of lacunary statistical convergence of order ff and strong N-theta(p)-summability of order ff for sequences of complex (or real) numbers. In this paper we continue to examine others relations between lacunary statistical convergence of order alpha and strong N-theta(p)-summability of order alpha.