<b>Statistical and lacunary statistical convergence of interval numbers in topological groups
نویسندگان
چکیده
منابع مشابه
Lacunary Invariant Statistical Convergence of Fuzzy Numbers
In this paper, we introduce the concepts of invariant convergence, lacunary invariant statistical convergence of sequences of fuzzy numbers and lacunary strongly invariant convergence of sequences of fuzzy numbers. We give some relations related to these concepts.
متن کاملLacunary statistical convergence of sequences of fuzzy numbers
The sequence X = {Ark } of fuzzy numbers is statistically convergent to the fuzzy number 3(o provided that for each e ~ 0 lim l{the number ofk~e} = 0. n In this paper we study a related concept of convergence in which the set {k: k<~n} is replaced by {k: kr-1 -~k<~kr} for some lacunary sequence {k~}. Also we introduce the concept of lacunary statistically Cauchy sequence and show...
متن کاملAlmost lacunary statistical and strongly almost lacunary convergence of sequences of fuzzy numbers
The purpose of this paper is to introduce the concepts of almost lacunary statistical convergence and strongly almost lacunary convergence of sequences of fuzzy numbers. We give some relations related to these concepts. We establish some connections between strongly almost lacunary convergence and almost lacunary statistical convergence of sequences of fuzzy numbers. It is also shown that if a ...
متن کاملOn $I$-statistical and $I$-lacunary statistical convergence of order $alpha$
In this paper, following a very recent and new approach, we further generalize recently introduced summability methods, namely, $I$-statistical convergence and $I$-lacunary statistical convergence (which extend the important summability methods, statistical convergence and lacunary statistical convergence using ideals of $mathbb{N}$) and introduce the notions of $I$-statis...
متن کاملLacunary Statistical Convergence and Inclusion Properties between Lacunary Methods
A lacunary sequence is an increasing integer sequence θ = {kr } such that kr − kr−1 → ∞ as r → ∞. A sequence x is called sθ-convergent to L provided that for each ε > 0, limr (1/(kr −kr−1)){the number of kr−1 < k ≤ kr : |xk−L| ≥ ε} = 0. In this paper, we study the general description of inclusion between two arbitrary lacunary sequences convergent.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Acta Scientiarum. Technology
سال: 2014
ISSN: 1807-8664,1806-2563
DOI: 10.4025/actascitechnol.v36i3.16545