Çift Dizilerin Fuzzy n-Normlu Uzaylarda Lacunary 𝓘𝟐-Yakınsaklığı ve Bazı Özellikleri Üzerine

Yıl 2018, Cilt: 18 Sayı: 3, 868 - 877, 30.12.2018

Muhammed Recai Türkmen

Öz

Bu çalışmada çift dizilerin lacunary ideal yakınsaklığı fuzzy n-norm kullanarak yeniden tanımlanmıştır. Çalışmada ilk olarak fuzzy n-normlu uzaylarda çift diziler için lacunary ideal yakınsaklık kavramına yer verilmiş, daha sonra bu yakınsama ile ilgili temel teoremlere değinilmiştir. İkinci olarak 𝜃-yakınsaklık kavramını fuzzy n-normlu uzaylarda çift diziler için tanıtıp, 𝜃-yakınsaklık ile lacunary ideal yakınsaklık arasındaki ilişki fuzzy n-normlu uzaylarda çift diziler için incelenmiştir. Son olarak, fuzzy n-normlu uzaylarda 𝐹𝑛𝜃2-Cauchy ve 𝐹𝑛ℐ2𝜃-Cauchy kavramları ve bu kavramlarla ilgili teoremlerin ifadeleri verilmiştir.

Anahtar Kelimeler

Çift dizi, İstatiksel yakınsaklık, Lacunary yakınsaklık, İdeal yakınsaklık, Fuzzy n-norm.

Kaynakça

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