Results 11 to 20 of about 671,043 (291)
Double Sequences and Selections [PDF]
Abstract and Applied Analysis, 2012 We present some results about selection properties in the class of double sequences of real numbers.
Dragan Djurčić +2 more
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A category theorem for double sequences
Applied 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.
Richard F Patterson, Ekrem Savas
exaly +4 more sources
f ( λ , μ ) $f_{(\lambda,\mu)}$ -statistical convergence of order α̃ for double sequences [PDF]
Journal 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
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Rough I2 ${I}_{2}$-lacunary statistical convergence of double sequences [PDF]
Journal 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
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The Cesáro Core of Double Sequences [PDF]
Abstract 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
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On Modulated Lacunary Statistical Convergence of Double Sequences
Mathematics, 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
On a New Space of Double Sequences [PDF]
Journal of Function Spaces and Applications, 2013 We introduce a new space of double sequences related to -absolute convergent double sequence space, combining an Orlicz function and an infinity double matrix. We study some properties of and obtain some inclusion relations involving .
Cenap Duyar, Oğuz Oğur
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On regularly generated double sequences
Filomat, 2017 In this paper, we introduce regularly generated sequences for double sequence of real numbers, and obtain some Tauberian theorems for (C; 1; 1) summability method using the concept of regularly generated sequence.
Totur, Umit, Canak, Ibrahim
openaire +4 more sources
Asymptotic equivalence of double sequences
, 2012 The goal of this paper is to present a four-dimensional matrix characterization of asymptotic equivalence of double sequences. This will be accomplished with the following notion of asymptotic equivalence of double sequences. Two double sequences are asymptotic equivalent if and only if P − limk,l xk,l yk,l = 1, where x and y are selected judicially ...
Patterson, Richard F., Savas, Ekrem
core +4 more sources
Journal of Numerical Analysis and Approximation Theory, 1987 Not available.
Gh. Toader
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