On Some Summability Spaces of Sequences of Fuzzy Numbers
نویسندگان
چکیده
In this article we introduce and study the notions of ( , ) s v r -lacunary strongly summable, ( , ) s v r Cesàro strongly summable, ( , ) s v r statistically convergent and ( , ) s v r -lacunary statistically convergent sequence of fuzzy numbers. Consequently we construct the spaces ( , ) F sv r L , 1 ( , ) F sv r , ( , ) F sv r S and ( , ) F sv r S respectively and investigate the relationship among these spaces. Further we show that ( , ) F sv r L and 1 ( , ) F sv r are complete metric spaces.
منابع مشابه
Some conditions under which slow oscillation of a sequence of fuzzy numbers follows from Ces`{a}ro summability of its generator sequence
Let $(u_n)$ be a sequence of fuzzy numbers. We recover the slow oscillation of $(u_n)$ of fuzzy numbers from the Ces`{a}ro summability of its generator sequence and some additional conditions imposed on $(u_n)$. Further, fuzzy analogues of some well known classical Tauberian theorems for Ces`{a}ro summability method are established as particular cases.
متن کاملStatistical Convergence and Strong $p-$Ces`{a}ro Summability of Order $beta$ in Sequences of Fuzzy Numbers
In this study we introduce the concepts of statistical convergence of order$beta$ and strong $p-$Ces`{a}ro summability of order $beta$ for sequencesof fuzzy numbers. Also, we give some relations between the statisticalconvergence of order $beta$ and strong $p-$Ces`{a}ro summability of order$beta$ and construct some interesting examples.
متن کاملA Tauberian theorem for $(C,1,1)$ summable double sequences of fuzzy numbers
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.
متن کاملH"{o}lder summability method of fuzzy numbers and a Tauberian theorem
In this paper we establish a Tauberian condition under which convergence follows from H"{o}lder summability of sequences of fuzzy numbers.
متن کاملSome Summability Spaces of Double Sequences of Fuzzy Numbers
In this article we introduce and study the notions of double -lacunary strongly summable, double Cesàro strongly summable, double statistically convergent and double -lacunary statistically convergent sequence of fuzzy numbers. Consequently we construct the spaces 2 F L , 2 F , 2 F S and 2 F S respectively and investigate the relationship among these spaces. F...
متن کامل