Lacunary generalized difference statistical convergence in random 2-normed spaces

Hazarika, Bipan

doi:10.4067/s0716-09172012000400006

Cited by 8 publications

(5 citation statements)

References 22 publications

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“…A lot of work is done by various researchers related to convergence of difference sequences in extended way with different structures, some connected results can be seen in [1,4,5,8,12,15,20,21].…”

Section: Definition 15 ([7]mentioning

confidence: 99%

(\lambda\)-\(\Delta^m\)-Statistical Convergence on Intuitionistic Fuzzy Normed Spaces

Antal,

Chawla

2024

Comm. Math. Appl.

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The basic purpose of our work is to define λ-statistical convergence for the generalized difference sequences (i.e. λ-∆ m -statistical convergence) on Intuitionistic Fuzzy Normed space (IFN space). We have proven topological results about this generalized method of sequence convergence. Also, we have given the λ-∆ m -statistical Cauchy sequences along with its Cauchy criteria of convergence on these spaces.

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Section: Definition 15 ([7]mentioning

confidence: 99%

(\lambda\)-\(\Delta^m\)-Statistical Convergence on Intuitionistic Fuzzy Normed Spaces

Antal,

Chawla

2024

Comm. Math. Appl.

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“…The notion of lacunary statistical convergence was introduced by Fridy and Orhan [10] and has been investgated for the real case in [11]. For more details on lacunary statistical convergence we refer to [13,14] In this case we write S…”

Section: Lacunary Statistical Convergencementioning

confidence: 99%

New type of Lacunary Orlicz difference sequence spaces generated by infinite matrices

Esi

Hazarika

Eşi

2016

Filomat

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The main purpose of this paper is to introduce the spaces w o θ A, M, ∆, p , w θ A, M, ∆, p and w ∞ θ A, M, ∆, p generated by infinite matrices defined by Orlicz functions. Some properties of these spaces are discussed. Also we introduce the concept of S θ [A, ∆] −statistical convergence and derive some results between the spaces S θ [A, ∆] and w θ [A, ∆]. Further, we study some geometrical properties such as order continuous, the Fatou property and the Banach-Saks property of the new space w ∞ θα A, ∆, p. Finally, we introduce the notion of S θ [A, ∆] −statistical convergence of order α of real number sequences and obtain some inclusion relations between the set of S [A, ∆] −statistical convergence of order α.

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“…The 4 m -statistical convergence was defined by Et and Nuray [8]. Further, many researchers worked and discussed this topic in different setups [5,6,11,28,29,30,31,33,32,33]. In the next section we extend this concept in IFNS for difference double sequences.…”

Section: Introductionmentioning

confidence: 98%

On Δᵐ-statistical convergence double sequences in intuitionistic fuzzy normed spaces

Antal

Meenakshi²,

Kumar³

et al. 2022

Proyecciones (Antofagasta)

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In the present paper, the basic objective of our work is to define Δᵐ-statistical convergence in the setup of intuitionistic fuzzy normed spaces for double sequences. We have proved some examples which shows this method of convergence is more generalized. Further, we defined the Δᵐ-statistical Cauchy sequences in these spaces and given the Cauchy convergence criterion for this new notion of convergence.

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Lacunary generalized difference statistical convergence in random 2-normed spaces

Cited by 8 publications

References 22 publications

(\lambda\)-\(\Delta^m\)-Statistical Convergence on Intuitionistic Fuzzy Normed Spaces

(\lambda\)-\(\Delta^m\)-Statistical Convergence on Intuitionistic Fuzzy Normed Spaces

New type of Lacunary Orlicz difference sequence spaces generated by infinite matrices

On Δᵐ-statistical convergence double sequences in intuitionistic fuzzy normed spaces

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