[PDF] Top 20 Rough \({I} {2}\) lacunary statistical convergence of double sequences
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Rough \({I} {2}\) lacunary statistical convergence of double sequences
... of rough convergence was first introduced by Phu [35] in finite-dimensional normed ...the rough conti- nuity of linear operators and showed that every linear operator f : X → Y is r -continuous at ... See full document
16
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] ... See full document
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1. On $\nabla _{2}$-Statistical Convergence of Double Sequences of order $\alpha $ in Random 2-Normed Space
... on statistical convergence and its generalizations appears to have been restricted to real or complex sequences, but in recent years these ideas have been also extended to the sequences in ... See full document
13
New Definitons about AI-Statistical Convergence with Respect to a Sequence of Modulus Functions and Lacunary Sequences
... Statistical convergence was given by Zygmund in the …rst edition of his mono- graph published in Warsaw in 1935 [23]. It was formally introduced by Fast [6] and Steinhaus [21] and later was reintroduced by ... See full document
12
Double almost lacunary statistical convergence of order α
... of statistical convergence was extended to double sequences by Mursaleen and Edely ...on double sequences can be found in [, ...single sequences; statistical ... See full document
10
Uniform Lacunary Statistical Convergence on Time Scales
... of statistical convergence goes back to the study of Zygmund [42] which was published in ...1935. Statistical convergence of number sequences was formally introduced by Fast [13] and ... See full document
8
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 ...for ... See full document
12
On asymptotically double lacunary statistical equivalent sequences in ideal context
... ideal I is a family of subsets of positive integers N × N which is closed under taking finite unions and subsets of its ...equivalence, statistical convergence, lacunary statistical ... See full document
15
f asymptotically lacunary ideal equivalence of double sequences
... of convergence of a sequence of real numbers has been extended to statistical convergence independently by Fast [14] and Schoenberg ...studied lacunary statistical ...the double ... See full document
11
Statistical Convergence of Double Sequences on Probabilistic Normed Spaces
... of statistical metric, which is now called probabilistic met- ric ...of statistical conver- gence of ordinary (single) sequence on probabilistic normed spaces was introduced by Karakus in ...of ... See full document
11
Rough $I$-statistical convergence of double sequences in normed linear spaces
... of rough I-statistical convergence of double sequences in a normed linear space (X , ...of rough convergence as well as rough statistical ... See full document
7
Lacunary statistical convergence of double sequences in topological groups
... of statistical convergence, which is an extension of the usual idea of conver- gence, was introduced by Fast [] and also independently by Schoenberg [] for real and complex sequences, but rapid ... See full document
10
Wijsman Rough Lacunary Statistical Convergence on I Cesaro Triple Sequences
... Wijsman rough statistical limit of a triple sequence may not unique for the Wijsman roughness degree r > ...r− statistical limit set of a triple sequence x = (x mnk ) , which is defined ... See full document
11
A generalization on ℐ asymptotically lacunary statistical equivalent sequences
... asymptotically lacunary statistical equivalent sequences, and they investigated some relations between strongly asymptot- ically lacunary equivalent sequences and strongly Cesáro ... See full document
9
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] ... See full document
9
Application of f lacunary statistical convergence to approximation theorems
... -lacunary statistical convergence have been ...-lacunary statistical analog whereas there exists a sequence of positive linear operators which satisfies the conditions of f ... See full document
25
On ℐ asymptotically lacunary statistical equivalent sequences
... 1. Marouf, M: Asymptotic equivalence and summability. Int. J. Math. Math. Sci. 16(4), 755-762 (1993) 2. Patterson, RF: On asymptotically statistically equivalent sequences. Demonstr. Math. 36(1), 149-153 ... See full document
7
\(f {(\lambda,\mu)}\) statistical convergence of order α̃ for double sequences
... of statistical convergence goes back to the first edition of the famous Zyg- mund’s monograph ...The statistical convergence was introduced for real and complex sequences by Steinhaus ... See full document
8
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 ... See full document
5
Statistical Convergence and Ideal Convergence of Sequences of Functions in 2 Normed Spaces
... The notion of linear 2-normed spaces has been investigated by G¨ahler in the 60’s 10, 11 and this has been developed extensively in different subjects by others 12–14. Let X be a real linear space of dimension ... See full document
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