Yurdal SEVER

Çift Diziler için ??-İstatistiksel ?-Yakınsaklık

Bu makalede, tam sayı ikilileri için verilen yoğunluk kavramının bir genelleştirilmesi olan ?? doğal yoğunluk kavramını tanımladık. Bu yoğunluk kavramı yardımıyla çift diziler için ??-istatistiksel ?-yakınsaklık kavramı tanıtıldı. Daha sonra bu tip yakınsaklığın temel özellikleri incelendi. Ayrıca, ?-anlamında ??-istatistiksel alt limit ve üst limit kavramlarını tanımladık. Son olarak bu kavramlarla ilgili teoremler verdik.

??-Statistical ?-Convergence for Double Sequences

In this article, we define the concept of αβ natural density which is a generalization of the naturaldensity concept given for pairs of integer. The concept of ??-statistical ?-convergence is introducedwith the help of this density. After that some elementary properties of this type of convergence areexamined. Also, we define the notions of ??-statistical limit inferior and superior in ?-sense. Finally wegive some theorems related to them.

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