αβ− Statistical Convergence

By Hande Kukul. 2014

675 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/0d74c706fab76f03fbfce8db17d2c5755accee2d

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Citations in the corpus

On ℐ-asymptotically lacunary statistical equivalent sequences (2012, background): “2 (Fridy, [2]) The sequence [x] has statistic limit L, denoted by st− lim s = L provided that for every 2 > 0,”
ON ALMOST STATISTICAL CONVERGENCE OF NEW TYPE OF GENERALIZED DIFFERENCE SEQUENCE OF FUZZY NUMBERS (2012, background): “Later, it was further investigated from the sequence space point of view and linked with summability theory by Connor [3], Fridy [4], Mursaleen et al. ([5], [6]), Šalát [7], Tripathy [8] and many others.”
On Deferred Statistical Convergence of Sequences (2016, unknown): “Furthermore, this subject was studied in [3], [4], [8], [9], [10], [15], [16] etc.”
Lacunary statistical convergence in random 2-normed spaces (2012, unknown): “[4,5,8,10,15,18, 23].”
Some further results on ideal convergence in topological spaces (2012, background): “A lot of investigations have been done on this very interesting convergence and its topological consequences after the initial works by Fridy [11,12].”
Lacunary statistical convergence and strongly lacunary summable functions of order α (2017, unknown): “Later on it was further investigated from the sequence space viewpoint and linked with summability theory by Alotaibi and Alroqi [1], Çolak [5], Connor [6], Et et al. ([9], [10] and [11]), Fridy [14], Gadjiev and Orhan [16], Güngör et al. ([17] and [18]), Mohiuddine et al. [19], Mursaleen and Alo”
Ideal quasi-Cauchy sequences (2012, background): “ this case ℓ is called the statistical limit of x. Schoenberg [19] studied some basic properties of statistical convergence and also studied the statistical convergence as a summability method. Fridy [33] gave characterizations of statistical convergence. By a lacunary sequence θ = (kr), we mean an ”
On ideal convergence of double sequences in probabilistic normed spaces (2011, background): “For an admissible ideal ∮ ⊂ N × N, the aim of the present paper is to introduce the concepts of ∮ -convergence and ∮ -convergence for double sequences on probabilistic normed spaces (PN spaces for short).”