Preservation of partial limits in multiple sequence transformations

Hamilton, Hugh J.

doi:10.1215/s0012-7094-39-00526-0

Cited by 20 publications

(5 citation statements)

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“…In [17] the notion of convergence of double sequences was presented by A. Pringsheim. Also, in [18]- [19], and [20] the four dimensional matrix transformation (Ax) k,ℓ = ∑ ∞ m=1 ∑ ∞ n=1 a mn kℓ x mn was studied extensively by Robison and Hamilton.…”

Section: Introductionmentioning

confidence: 99%

The Generalized difference of $\int \chi^{2\textit{I}}$ of fuzzy real numbers over $p-$ metric spaces defined by Musielak Orlicz function

Nagarajan¹,

Mishra²,

Rai³

2016

ntmsci

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In this article we introduce the sequence spaces χ 2q f µ , (d (x 1 , 0) , d (x 2 , 0) , • • • , d (x n−1 , 0)) p I(F) and Λ 2q f µ , (d (x 1 , 0) , d (x 2 , 0) , • • • , d (x n−1 , 0)) p I(F) , associated with the integrated sequence space defined by Musielak. We study some basic topological and algebraic properties of these spaces. We also investigate some inclusion relations related to these spaces.

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Section: Introductionmentioning

confidence: 99%

The Generalized difference of $\int \chi^{2\textit{I}}$ of fuzzy real numbers over $p-$ metric spaces defined by Musielak Orlicz function

Nagarajan¹,

Mishra²,

Rai³

2016

ntmsci

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“…In [25] the notion of convergence of double sequences was presented by A. Pringsheim. Also, in [12]- [13], and [14] the four dimensional matrix transformation (Ax) k, = ∞ m=1 ∞ n=1 a mn k x mn was studied extensively by Robison and Hamilton.…”

Section: Introductionmentioning

confidence: 99%

THE RANDOM OF LACUNARY STATISTICAL ON χ^2 OVER p− METRIC SPACES DEFINED BY MUSIELAK

Babu¹,

Subramanian²,

Thirunavukkarasu³

2015

Mathematical Sciences and Applications E-Notes

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Mursaleen introduced the concepts of statistical convergence in random 2-normed spaces. Recently Mohiuddine and Aiyup defined the notion of lacunary statistical convergence and lacunary statistical Cauchy in random 2-normed spaces. In this paper, we define and study the notion of lacunary statistical convergence and lacunary of statistical Cauchy sequences in random on χ 2 over p− metric spaces defined by Musielak and prove some theorems which generalizes Mohiuddine and Aiyup results.

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“…In [34] the notion of convergence of double sequences was presented by A. Pringsheim. Also, in [35]- [38], and [39] the four dimensional matrix transformation (Ax) k,ℓ = ∞ m=1 ∞ n=1 a mn kℓ x mn was studied extensively by Robison and Hamilton. We need the following inequality in the sequel of the paper.…”

Section: Introductionmentioning

confidence: 99%

GENERALIZATION OF $\chi^{2}$ SPACES BY CES{\'A}RO METHOD OF ORDER ONE AND MODULUS FUNCTION

Subramanian¹,

Thirunavukkarasu²,

Babu³

2013

Int. J. of Pure and Appl. Math.

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Preservation of partial limits in multiple sequence transformations

Cited by 20 publications

References 0 publications

The Generalized difference of $\int \chi^{2\textit{I}}$ of fuzzy real numbers over $p-$ metric spaces defined by Musielak Orlicz function

The Generalized difference of $\int \chi^{2\textit{I}}$ of fuzzy real numbers over $p-$ metric spaces defined by Musielak Orlicz function

THE RANDOM OF LACUNARY STATISTICAL ON χ^2 OVER p− METRIC SPACES DEFINED BY MUSIELAK

GENERALIZATION OF $\chi^{2}$ SPACES BY CES{\'A}RO METHOD OF ORDER ONE AND MODULUS FUNCTION

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