On statistical andp-Cesaro convergence of fuzzy numbers

Weighted βγ-summability of fuzzy functions of order θ

“…Combining [9] and [12], we get Remark 4.2. In case of γ n = n and β n = 1, we get the Tauberian theorem as in [16] in case of fuzzy numbers.…”

“…Remark 3.1 (Particular cases). For t n = 1 and (i) β n = 1, γ n = n, θ = 1, N θ βγ (t) reduces to Cesaro summability which is defined for fuzzy numbers by Kwon [9].…”

Statistical convergence of order β for generalized difference sequences of fuzzy numbers

“…In this case, we write S (F) − lim X k = X 0 . Kwon [22] defined the concept of strong p−Cesàro summability for sequences of fuzzy numbers and examined relations between statistical convergence and strong p−Cesàro summability:…”

On generalized statistical convergence of order β of sequences of fuzzy numbers

“…Later on, Nuray and Savaş [6] defined and discussed the concepts of statistically convergent and statistically Cauchy sequences of fuzzy numbers. Kwon [18] gave relationship between statistical convergence and strongly p−Cesaro summability of sequences of fuzzy numbers. Et et al [23] defined the concept of strongly 2 λ p −Cesaro summability of a sequence of fuzzy numbers and obtained some inclusion relations between the set of strongly 2 λ p −Cesaro convergent and 2 λ −statistically convergent sequences of fuzzy numbers.…”