Bulanık Fark Dizilerinde Bir Modülüs Fonksiyonu Yardımıyla Tanımlı ρ-İstatistiksel Yakınsaklık Üzerine

Year 2024, Volume: 24 Issue: 2, 277 - 283, 29.04.2024

Damla Barlak

https://doi.org/10.35414/akufemubid.1364299

Abstract

Bu çalışmada ilk olarak bulanık sayı dizileri için ∆^m genelleştirilmiş fark operatörünü kullanarak ρ-istatistiksel yakınsaklık tanımını verdik. Ayrıca bulanık fark dizileri için kuvvetli N_F^ρ (∆^m,q)-toplanabilir dizi kümesini ve bir f modülüs fonksiyonu yardımıyla tanımlanan kuvvetli N_F^ρ (∆^m,f,q)-toplanabilir dizi kümesini tanımladık. Daha sonra bu kümelerle S_F^ρ (∆^m ) kümesi arasındaki bazı kapsama teoremlerini verdik.

Keywords

İststistiksel yakınsaklık, Bulanık sayı dizisi, Modülüs fonksiyonu, Fark dizisi

On ρ-Statistically Convergence Defined by a Modulus Function in Fuzzy Difference Sequences

Abstract

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.

Keywords

Statistical convergence, Sequence of fuzzy numbers, Modulus function, Difference sequence

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