a tauberian theorem for $(c,1,1)$ summable double sequences of fuzzy numbers

نویسندگان

ibrahim canak

department of mathematics, ege university, 35100, izmir, turkey umit totur

department of mathematics, adnan menderes university, 09100, aydin, turkey zerrin onder

department of mathematics, ege university, 35100, izmir, 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.

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عنوان ژورنال:
iranian journal of fuzzy systems

جلد ۱۴، شماره ۱، صفحات ۶۱-۷۵

کلمات کلیدی
[ ' f u z z y n u m b e r s ' , ' d o u b l e s e q u e n c e s ' , ' s l o w o s c i l l a t i o n ' , ' s u m m a b i l i t y $ ( c ' , 1 , ' 1 ) $ ' , ' t a u b e r i a n t h e o r e m s ' ]

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