Yazar "Bulut, Sevcan" seçeneğine göre listele

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    Öğe
    ? dereceden bazı genelleştirilmiş yakınsaklık türleri
    (Çanakkale Onsekiz Mart Üniversitesi, Lisansüstü Eğitim Enstitüsü, 2022) Bulut, Sevcan; Or, Aykut
    Bu tez çalışmasında ilk olarak, reel sayı dizilerinde istatistiksel yakınsaklık, metrik uzaylarda ideal yakınsaklık ve normlu uzaylarda kaba yakınsaklık kavramları sunuldu. Ardından, kaba yakınsaklığın genelleştirmeleri olan kaba istatistiksel, kaba ideal ve kaba ideal istatistiksel yakınsaklık kavramları incelendi. Daha sonra, incelenen bu kavramların derecelendirmelerinden bahsedilerek $\alpha$. dereceden kaba ideal istatistiksel yakınsaklık ve $\alpha$. dereceden ideal istatistiksel sınırlılık kavramları tanıtıldı ve bu kavramların bazı temel özellikleri incelendi.
  • [ X ]
    Öğe
    I-Statistical Rough Convergence of Order ?
    (2022) Bulut, Sevcan; Or, Aykut
    The aim of this paper is to define the concept of I-statistical (I-st)\rrough convergence of order ? (0 < ? ? 1). It proposes the concept of I-st bounded\rof order ?. Moreover, the necessary and sufficient condition for a sequence (xk) to be\rI-st bounded of order ? is studied. In addition, the necessary and sufficient condition\rfor a sequence (xk) to be I-st convergent of order ? is examined. Finally, the need\rfor further research studies are discussed.\r
  • [ X ]
    Öğe
    Statistical Convergence of Double Sequences in Intuitionistic Fuzzy Metric Spaces
    (2023) Özcan, Ahmet; Karabacak, Gökay; Bulut, Sevcan; Or, Aykut
    Statistical convergence has been a prominent research area in mathematics since this concept was independently introduced by Fast and Steinhaus in 1951. Afterward, the statistical convergence of double sequences in metric spaces and fuzzy metric spaces has been widely studied. The main goal of the present study is to introduce the concepts of statistical convergence and statistical Cauchy for double sequences in intuitionistic fuzzy metric spaces. Moreover, this study characterizes the statistical convergence of a double sequence by an ordinary convergent of a subsequence of the double sequence. Besides, the current study theoretically contributes to the mentioned concepts and investigates some of their basic properties. Finally, the paper handles whether the aspects should be further investigated.