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Iranian Journal of Fuzzy Systems، جلد ۲۰، شماره ۶، صفحات ۱۰۵-۱۲۲
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عنوان انگلیسی Some novel approaches on the $(overline{N},p,q)$ summability of double sequences of fuzzy numbers and its applications
چکیده انگلیسی مقاله In this paper, our aim is to make a novel interpretation of relation between $(overline{N},p,q)$ method and $P$-convergence for double sequences of fuzzy numbers. In accordance with this aim, we derive some Tauberian conditions, controlling $O$-oscillatory behavior of a double sequence of fuzzy numbers in certain senses, from $(overline{N},p,q)$ summability to $P$- convergence with some restrictions on the weight sequences. As special cases, we indicate that $O$-condition of Hardy type with respect to $(P_m)$ and $(Q_n)$ are Tauberian conditions for $(overline{N},p,q)$ summability under some additional conditions. In the sequel, we prove a fuzzy Korovkin-type approximation theorem by using the $(overline{N},p,q)$ summability method for fuzzy positive linear operators.
کلیدواژه‌های انگلیسی مقاله Double sequences of fuzzy numbers, convergence in Pringsheim&apos,s sense, $(overline{N}, P, q)$ summability, regularly varying sequences, slowly decreasing sequences, slowly oscillating sequences, weighted mean summability method, fuzzy Korovkin theory
نویسندگان مقاله Zerrin Onder |
Department of Mathematics, Faculty of Arts and Sciences, Usak University, 64000, Usak, Turkey

Ekrem Savas |
Department of Mathematics, Faculty of Arts and Sciences, Usak University, 64000, Usak, Turkey

Ibrahim Canak |
Department of Mathematics, Faculty of Sciences, Ege University, 35100, Izmir, Turkey

نشانی اینترنتی https://ijfs.usb.ac.ir/article_7994_70287bbc083f6c6a1de2c28158cc90f0.pdf
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