Generalized difference sequences of fuzzy numbers

Lacunary Statistical Limit and Cluster Points of Generalized Difference Sequences of Fuzzy Numbers

“…In 2006, Altin et al [16] united lacunary sequences to introduce the concept of lacunary statistical convergence of generalized difference sequences of fuzzy numbers and obtained some interesting results. Some more work in this direction can be found in [17][18][19]. In present work, we continue with this study and introduce the concepts of lacunary statistical limit and cluster points of generalized difference sequences of fuzzy numbers.…”

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

“…Continuing on this way, Başar and Altay [9] have recently introduced the difference sequence space bv p of real sequences whose −transforms are in the space p , where x = (x k − x k−1 ) and 1 ≤ p ≤ ∞. The idea of difference sequences was generalized by Et and Ç olak [25], Altin et al [39], Altınok et al [13] and Ç olak et al [30].…”

Lacunary statistical convergence of order β in difference sequences of fuzzy numbers

“…The difference spaces ℓ ∞ (∆), c (∆) and c 0 (∆), consisting of all real valued sequences x = (x k ) such that ∆x = ∆ 1 x = (x k − x k+1 ) in the sequence spaces ℓ ∞ , c and c 0 , were defined by Kızmaz [16]. The idea of difference sequences was generalized by Et and Ç olak [10], Altinok [2], Ç olak et al [6], Tripathy and Baruah [25] and many others.…”