Yazar "Barlak, Damla" seçeneğine göre listele

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    Öğe
    Bulanık Fark Dizilerinde Bir Modülüs Fonksiyonu Yardımıyla Tanımlı ?-İstatistiksel Yakınsaklık Üzerine
    (Afyon Kocatepe Üniversitesi, 2024) Barlak, Damla
    Bu çalışmada ilk olarak bulanık sayı dizileri için ?^m genelleştirilmiş fark operatörünü kullanarak ?-istatistiksel yakınsaklık tanımını verdik. Ayrıca bulanık fark dizileri için kuvvetli N_F^? (?^m,q)-toplanabilir dizi kümesini ve bir f modülüs fonksiyonu yardımıyla tanımlanan kuvvetli N_F^? (?^m,f,q)-toplanabilir dizi kümesini tanımladık. Daha sonra bu kümelerle S_F^? (?^m ) kümesi arasındaki bazı kapsama teoremlerini verdik.
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    Öğe
    Duals of generalized Orlicz Hilbert sequence spaces and matrix transformations
    (Univ Nis, Fac Sci Math, 2023) Barlak, Damla; Bektas, Cigdem A.
    In this paper, we define the sequence spaces hc increment (m) v , M,u, p , h0 increment (m) v , M,u, p and h & INFIN; increment (m) v , M,u, p resulting from the infinite Hilbert matrix and the Musielak-Orlicz function. We give some topological prop-erties and inclusion relations of these newly created spaces. We also identified & alpha;-, & beta;- and & gamma;-duals of the spaces. Finally, we tried to characterize some matrix transformations between these spaces.
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    Öğe
    ON ?-STATISTICAL CONVERGENCE OF ORDER (?,ß) FOR SEQUENCES OF FUZZY NUMBERS
    (Bilal GÜMÜŞ, 2023) Barlak, Damla
    In this study, we first give the definition of ?-statistical convergence of order (?,ß) for sequences of fuzzy numbers. We also define the strongly w(?,F,q)-summable of order (?,ß) and the strongly w(?,F,q,f)-summable of order (?,ß), defined by a modulus function f for sequences of fuzzy numbers. Later we give some coverage theorems between these sets and the set S_?^ß (?,F).
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    Öğe
    ON ?-STATISTICAL CONVERGENCE OF SEQUENCES OF FUZZY NUMBERS
    (Bilal GÜMÜŞ, 2024) Barlak, Damla
    In this study, we present the concepts of ?-statistically convergence for sequences of fuzzy numbers as well as strong (w_? (F)) summability and ?-Cauchy statistically convergence for sequences of fuzzy numbers. We also provide several results concerning these concepts.
  • Küçük Resim
    Öğe
    On some new sequence spaces and their duals
    (Hindawi Limited, 2024) Barlak, Damla
    In this study, we defined some new sequence spaces using regular Tribonacci matrix. We examined some properties of these spaces such as completeness, Schauder basis. We have identified α-,β-, and γ-duals of the newly created spaces.
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    Öğe
    On ρ-Statistically Convergence Defined by a Modulus Function in Fuzzy Difference Sequences
    (2024) Barlak, Damla
    In this study, we first introduced the definition ∆_ρ^m-statistical convergence for sequences of fuzzy numbers using the generalized difference operator ∆^m. Furthermore, we defined the strong N_F^ρ (∆^m,q)-summable sequence set and the strong N_F^ρ (∆^m,f,q)-summable sequence set for fuzzy difference sequences aided by a modulus function f. Subsequently, we provided certain inclusion theorems between these sets and the S_F^ρ (∆^m ) set.
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    Öğe
    Statistical Convergence of order ? for (?, ,?) double sequences of fuzzy numbers
    (Ios Press, 2020) Barlak, Damla
    In this study, we introduce the concepts of phi(lambda,mu)-double statistically convergence of order beta in fuzzy sequences and strongly lambda- double Cesaro summable of order beta for sequences of fuzzy numbers. Also we give some inclusion theorems.