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A Tauberian theorem for $(C,1,1)$ summable double sequences of fuzzy numbers | ||
Iranian Journal of Fuzzy Systems | ||
مقاله 5، دوره 14، شماره 1، اردیبهشت 2017، صفحه 61-75 اصل مقاله (376.23 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22111/ijfs.2017.3037 | ||
نویسندگان | ||
Ibrahim Canak1؛ Umit Totur ![]() | ||
1Department of Mathematics, Ege University, 35100, Izmir, Turkey | ||
2Department of Mathematics, Adnan Menderes University, 09100, Aydin, Turkey | ||
چکیده | ||
In this paper, we determine necessary and sufficient Tauberian conditions under which convergence in Pringsheim's sense of a double sequence of fuzzy numbers follows from its $(C,1,1)$ summability. These conditions are satisfied if the double sequence of fuzzy numbers is slowly oscillating in different senses. We also construct some interesting double sequences of fuzzy numbers. | ||
کلیدواژهها | ||
Fuzzy numbers؛ Double sequences؛ Slow oscillation؛ Summability $(C؛ 1؛ 1)$؛ Tauberian theorems | ||
مراجع | ||
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