Lacunary Statistical Convergence
On some spaces of almost lacunary convergent sequences derived by Riesz mean and weighted almost lacunary statistical convergence in a real n normed space
... the lacunary sequence in a real n-normed ...of lacunary sequence and Riesz mean, we obtain a new concept of statistical convergence which will be called weighted almost lacunary ...
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Density by moduli and Wijsman lacunary statistical convergence of sequences of sets
... -Wijsman lacunary statistical convergence of sequences of sets, where f is an unbounded ...Wijsman lacunary strong convergence of sequences of sets is extended to a definition of Wijsman ...
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Application of f lacunary statistical convergence to approximation theorems
... Statistical convergence had not been examined in approximation theory until ...via statistical con- vergence by Gadjiev and Orhan [18] and Duman [13], in 2002 and 2003, ...via lacunary ...
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Lacunary statistical convergence of double sequences in topological groups
... between lacunary statisti- cal convergence and statistical convergence was established among other ...of lacunary statistical convergence with respect to the ...
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Rough I2-Lacunary Statistical Convergence of Double Sequences
... Abstract: In this paper, we introduce and study the notion of rough I 2 -lacunary statistical convergence of double sequences in normed linear spaces1. We also introduce the[r] ...
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2. On I-statistical and I-lacunary statistical convergence of weight $g$
... I-statistical convergence of weight g and I- lacunary statistical convergence of weight g, where g : N → [0, ∞) is a function satisfying g (n) → ∞ and n/g (n) 9 ...
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Rough \({I} {2}\) lacunary statistical convergence of double sequences
... of lacunary ideal convergence of real sequences was introduced in ...-statistical convergence and I -lacunary statistical convergence by using ...tistical ...
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Uniform Lacunary Statistical Convergence on Time Scales
... m)-uniform lacunary density of an arbitrary set, (θ, m)- uniform lacunary statistical convergence and some properties of (θ, m)-lacunary statistically convergent sequences on an ...
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Lacunary Statistical Convergence in Fuzzy Normed Linear Spaces
... of lacunary statistical convergence with respect to a fuzzy ...between lacunary summabilty and lacunary convergence in fuzzy normed ...
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Wijsman Rough Lacunary Statistical Convergence on I Cesaro Triple Sequences
... the statistical limit, provided that the natural density of the set consisting of the indices of these terms is ...distinguishes statistical convergence from ordinary ...
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On generalized difference lacunary statistical convergence in a paranormed space
... extend convergence of sequences, the notion of statistical convergence was introduced by Fast [] and Steinhaus [] and several generalizations and applications of this concept have been investigated ...
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Quasi-Almost Lacunary Statistical Convergence of Sequences of Sets
... quasi-almost lacunary convergence, Wijsman quasi-strongly almost lacunary convergence and Wijsman quasi q-strongly almost lacunary con- ...quasi-almost lacunary statistically ...
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Lacunary statistical convergence and inclusion properties between lacunary methods
... Abstract. A lacunary sequence is an increasing integer sequence θ = {k r } such that k r − k r−1 → ∞ as r → ∞. A sequence x is called s θ -convergent to L provided that for each ε > 0, lim r (1/(k r − k r−1 ...
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Some new lacunary statistical convergence with ideals
... Kiliçman, A, Borgohain, S: Genaralized difference strongly summable sequence spaces of fuzzy real numbers defined by ideal convergence and Orlicz function.. Mohiuddine, SA, Aiyub, M: Lacun[r] ...
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Double almost lacunary statistical convergence of order α
... The notion of convergence of a real sequence was extended to a statistical convergence by Fast [] (see also Schoenberg []) as follows. If N denotes the set of natural numbers and K ⊂ N, then K(m, ...
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New Definitons about AI-Statistical Convergence with Respect to a Sequence of Modulus Functions and Lacunary Sequences
... I statistical conver- gence, which is a recently introduced summability method, with an in…nite matrix of complex numbers and a modulus ...function. Lacunary sequences will also be included in our ...
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On I-Asymptotically Lacunary Statistical Equivalence of Functions on Amenable Semigroups
... Using lacunary sequences Fridy and Orhan defined lacunary statistical convergence in ...the lacunary statistical convergence and the Ces` aro ...strongly lacunary ...
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Lacunary Δ statistical convergence in intuitionistic fuzzy n normed space
... of lacunary strongly -convergence of fuzzy ...of lacunary generalized difference statis- tical convergence in random -normed ...introduce lacunary -statistical convergence ...
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On asymptotically double lacunary statistical equivalent sequences in ideal context
... I-statistical convergence, I-lacunary statistical convergence and investigated some of their ...of lacunary ideal convergence of real sequences was introduced in [, ...
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On lacunary double statistical convergence in locally solid Riesz spaces
... of statistical convergence, which is an extension of the idea of usual conver- gence, was introduced by Fast [], Steinhaus [] independently in the same year and also by Schoenberg ...of ...
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