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[PDF] Top 20 Lacunary statistical convergence of double sequences in topological groups

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Lacunary statistical convergence of double sequences in topological groups

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

Rough I2-Lacunary Statistical Convergence of Double Sequences

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

14

Rough \({I} {2}\) lacunary statistical convergence of double sequences

Rough \({I} {2}\) lacunary statistical convergence of double sequences

... of convergence of a sequence of real numbers has been extended to statistical convergence independently by Fast [1] and Schoenberg ...the double sequences by Mursaleen and Edely [3]. ... See full document

16

On lacunary double statistical convergence in locally solid Riesz spaces

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 ...Its ... See full document

12

On asymptotically double lacunary statistical equivalent sequences in ideal context

On asymptotically double lacunary statistical equivalent sequences in ideal context

... of statistical convergence was formerly given under the name ‘almost conver- gence’ by Zygmund in the first edition of his celebrated monograph published in Warsaw in  ...names, statistical ... See full document

15

Double almost lacunary statistical convergence of order α

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

f asymptotically lacunary ideal equivalence of double sequences

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 in a paranormed space

Statistical convergence in a paranormed space

... of statistical convergence for sequences of real numbers was introduced by Fast [1] and Steinhaus [2] independently in the same year 1951 and since then sev- eral generalizations and applications of ... See full document

6

Rough $I$-statistical convergence of double sequences in normed linear spaces

Rough $I$-statistical convergence of double sequences in normed linear spaces

... I-statistical convergence of double sequences in a normed linear space (X , ...rough convergence as well as rough statistical convergence of double sequences ... See full document

7

On generalized difference lacunary statistical convergence in a paranormed space

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 ... See full document

7

New Definitons about AI-Statistical Convergence with Respect to a Sequence of Modulus Functions and Lacunary Sequences

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 ... See full document

12

Some new lacunary statistical convergence with ideals

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

Uniform Lacunary Statistical Convergence on Time Scales

Uniform Lacunary Statistical Convergence on Time Scales

... The measure theory on time scales was first constructed by Guseinov [19] and Lebesque ∆-integral on time scales introduced by Cabada and Vivero [6]. Now, we introduce m-uniform strongly p- summablility and (θ, m)-uniform ... See full document

8

On ℐ asymptotically lacunary statistical equivalent sequences

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 (2003) 3. ... See full document

7

\(f {(\lambda,\mu)}\) statistical convergence of order α̃ for double sequences

\(f {(\lambda,\mu)}\) 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

Application of f lacunary statistical convergence to approximation theorems

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 ... See full document

25

On Double Statistical  Convergence of Fuzzy Numbers

On Double Statistical Convergence of Fuzzy Numbers

... For sequences of fuzzy numbers, Nanda 1 studied the sequences of fuzzy numbers and showed that the set of all convergent sequences of fuzzy numbers forms a complete metric ...of sequences of ... See full document

7

2. On I-statistical and I-lacunary  statistical convergence of weight $g$

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 ... See full document

10

An extension of asymptotically lacunary statistical equivalence set sequences

An extension of asymptotically lacunary statistical equivalence set sequences

... of convergence of sequences of numbers has been extended by several au- thors to convergence of sequences of ...Wijsman convergence (see ...of convergence of set sequences ... See full document

8

On lacunary statistical boundedness

On lacunary statistical boundedness

... 31. Fridy, JA, Orhan, C: Statistical limit superior and limit inferior. Proc. Am. Math. Soc. 125(12), 3625-3631 (1997) 32. Tripathy, BC: On statistically convergent and statistically bounded sequences. ... See full document

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