On ideal convergence Fibonacci difference sequence spaces

Abstract

The Fibonacci sequence was firstly used in the theory of sequence spaces by Kara and Başarir (Casp.

On Tribonacci I -convergent sequence spaces

“…After that in 1999, Kostyrko et al [22] defined a generalization of statistical convergence, known as I-convergence. Later,Ŝalát et al [29,30], Filipów and Tryba [9] and many others [17,19] further studied the notion of I-convergence and linked with the summability theory. Furthermore, some authors also investigated it from the sequence space point of view.…”

On Ideal Convergent Difference Double Sequence Spaces in Intuitionistic Fuzzy Normed Linear Spaces

“…al [6]. Also, related studies can be found in [13]- [17]. Some new sequence spaces were introduced by means of various matrix transformations in [18], [19], [28] and [35].…”

Intuitionistic fuzzy I-convergent Fibonacci difference sequence spaces

“…where (f n ), n ∈ N is the sequence of Fibonacci numbers given by the linear recurrence relation as f 0 = 1 = f 1 and f n-1 + f n-2 = f n for n ≥ 2. Quite recently, Khan et al [13] defined the notion of I-convergent Fibonacci difference sequence spaces as c I 0 (F), c I (F) and l I ∞ (F).…”

“…[13]) A sequence x = (x n ) is said to be I-Cauchy if for every > 0 ∃ a number N = N( ) such that the set {n ∈ N : |x nx N | ≥ } ∈ I.…”