Cilt:70 Sayı:01 (2021)

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Browsing Cilt:70 Sayı:01 (2021) by Author "Altınok, Maya"

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    Statistical extension of bounded sequence space
    (Ankara Üniversitesi Fen Fakültesi, 2021-06-30) Altınok, Maya; Küçükaslan, Mehmet; Kaya, Umutcan; Other; Other
    In this paper by using natural density real valued bounded sequence space l ∞ is extented and statistical bounded sequence space l s t ∞ is obtained. Besides the main properties of the space l s t ∞ , it is shown that l s t ∞ is a Banach space with a norm produced with the help of density. Also, it is shown that there is no matrix extension of the space l ∞ that its bounded sequences space covers l s t ∞ . Finally, it is shown that the space l ∞ is a non-porous subset of l s t ∞ .