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Double Sequences and Selections [PDF]

open access: yesAbstract and Applied Analysis, 2012
We present some results about selection properties in the class of double sequences of real numbers.
Dragan Djurčić   +2 more
doaj   +7 more sources

A category theorem for double sequences [PDF]

open access: yesApplied Mathematics Letters, 2011
AbstractThe goal of this paper is to present the following multidimensional category theorem for double sequences via four-dimensional matrix transformations. The set of second category double subsequences of the double sequence (sk,l) is summable by a four-dimensional RH-regular matrix A=(am,n,k,l) if and only if (sk,l) is P-convergent.
Ekrem Savas, Richard F Patterson
exaly   +4 more sources

f ( λ , μ ) $f_{(\lambda,\mu)}$ -statistical convergence of order α̃ for double sequences [PDF]

open access: yesJournal of Inequalities and Applications, 2017
New concepts of f λ , μ $f_{\lambda,\mu }$ -statistical convergence for double sequences of order α̃ and strong f λ , μ $f_{\lambda,\mu }$ -Cesàro summability for double sequences of order α̃ are introduced for sequences of (complex or real) numbers ...
Mahmut Işik, Yavuz Altin
doaj   +2 more sources

Rough I2 ${I}_{2}$-lacunary statistical convergence of double sequences [PDF]

open access: yesJournal of Inequalities and Applications, 2018
In this paper, we introduce and study the notion of rough I2 $\mathcal {I}_{2}$-lacunary statistical convergence of double sequences in normed linear spaces.
Ömer Kişi, Erdinç Dündar
doaj   +2 more sources

The Cesáro Core of Double Sequences [PDF]

open access: yesAbstract and Applied Analysis, 2011
We have characterized a new type of core for double sequences, 𝑃𝐶-core, and determined the necessary and sufficient conditions on a four-dimensional matrix 𝐴 to yield 𝑃𝐶-core{𝐴𝑥}⊆𝛼(𝑃-core{𝑥}) for all ℓ∞2.
Kuddusi Kayaduman, Celal Çakan
doaj   +2 more sources

On Modulated Lacunary Statistical Convergence of Double Sequences

open access: yesMathematics, 2023
In earlier works, F. León and coworkers discovered a remarkable structure between statistical convergence and strong Cesàro convergence, modulated by a function f (called a modulus function).
María del Pilar Romero de la Rosa
doaj   +3 more sources

Generalized double sequences

open access: yesJournal of Numerical Analysis and Approximation Theory, 1987
Not available.
Gh. Toader
doaj   +4 more sources

Statistical Convergence of Double Sequences in Intuitionistic Fuzzy Metric Spaces

open access: yesJournal of New Theory, 2023
Statistical convergence has been a prominent research area in mathematics since this concept was independently introduced by Fast and Steinhaus in 1951.
Sevcan Bulut   +3 more
doaj   +1 more source

Almost and Strongly Almost B(r ̃,s ̃,t ̃,u ̃)- Summable Double Sequences

open access: yesEurasian Journal of Science and Engineering, 2021
In this paper, we define some new almost and strongly almost convergent double sequence spaces B ̃(C_f), B ̃(C_f0), B ̃[C_f] and B ̃[C_f0] derived by the domain of four-dimensional sequential band matrix B(r ̃,s ̃,t ̃,u ̃) in the spaces C_f, C_f0 , [C_f]
Orhan Tuğ
doaj   +1 more source

The Cesáro Lacunary Ideal bounded linear operator of χ2 - of φ-statistical vector valued defined by a bounded linear operator of interval numbers [PDF]

open access: yesSongklanakarin Journal of Science and Technology (SJST), 2017
Let   uv mn A be a sequence of bounded linear operators from a separable Banach metric space of (X , 0) into a Banach metric space (Y, 0). Suppose that φ ∈ Φ is a countable fundamental set of X and the ideal I - of subsets \mathbb{N} x \mathbb{N ...
Deepmala   +2 more
doaj   +1 more source

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