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Ordered Vector Valued Double Sequence Spaces
Fasciculi Mathematici, 2015 AbstractIn this paper we have introduced an order relation on convergent double sequences and have constructed an ordered vector space, Riesz space, order complete vector space in case of double sequences. We have verified the Archimedean property.
Rinku Dey +2 more
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On Asymptotically Double Lacunary Statistical Equivalent Sequences in Probabilistic Normed Space [PDF]
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012 In this paper we study the concept of asymptotically double lacunary statistical convergent sequences in probabilistic normed spaces and prove some basic properties.
Esi Ayhan
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On almost B-summable double sequence spaces [PDF]
Journal of Inequalities and Applications, 2018 The concept of a four-dimensional generalized difference matrix and its domain on some double sequence spaces was recently introduced and studied by Tuğ and Başar (AIP Conference Proceedings, vol. 1759, 2016) and Tuğ (J. Inequal. Appl. 2017(1):149, 2017).
Orhan Tuğ
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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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Double lacunary sequence spaces of double interval numbers [PDF]
Proyecciones (Antofagasta), 2012 In this paper we introduce the concepts of double lacunary strongly convergence and double lacunary statistical convergence of double interval numbers. We prove some inclusion relations and study some of their properties.
Ayhan Eşi
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Webbed spaces, double sequences, and the Macke convergence condition [PDF]
International Journal of Mathematics and Mathematical Sciences, 1999 In [3], Gilsdorf proved, for locally convex spaces, that every sequentially webbed space satisfies the Mackey convergence condition. In the more general frame of topological vector spaces, this theorem and its inverse are studied. The techniques used are double sequences and the localization theorem for webbed spaces.
Armando García-Martínez
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On the New Double Binomial Sequence Space
Turkish Journal of Mathematics and Computer Science, 2020 The aim of this paper is to present the new double Binomial sequence space $\mathcal{B}_{p}^{r,s}$ which consists of all sequences whose double Binomial transforms of orders $r,s$ ($r$ and $s$ are nonzero real numbers with $r+s \neq 0$) are in the space $\mathcal{L}_p$, where $0<p<\infty$.
Serkan Demiriz, Sezer Erdem
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On Zweier I-convergent double sequence spaces
Filomat, 2016 In this article we introduce the Zweier I-convergent double sequence spaces 2ZI, 2ZI0 and 2ZI1. We prove the decomposition theorem and study topological properties, algebraic properties and some inclusion relations on these spaces.
Vakeel Khan, Nazneen Khan
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ON TWO-MODULAR SPACES OF DOUBLE SEQUENCES [PDF]
Demonstratio Mathematica, 1992 Aleksander Maszak
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A Study on Statistical Convergence of Triple Sequences in Intuitionistic Fuzzy Normed Space [PDF]
Sahand Communications in Mathematical Analysis, 2022 S. Karkaus, K. Demirci, and O. Duman in 2008 studied the statistical convergence of a single sequence over Intuitionistic fuzzy normed space(\textbf{IFNS}). M. Mursaleen in 2009, generalized the above work for double sequences over IFNS.
Shailendra Pandit, Ayaz Ahmad
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