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1
Content available remote Ordered vector valued double sequence spaces
Dey R., Das N. R., Tripathy B. C.
Fasciculi Mathematici
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2015
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Nr 55
29--34
EN
In 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.
2
Content available remote On some I-convergent double sequence spaces of fuzzy real numbers defined by modulus function
Das M.
Fasciculi Mathematici
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2015
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Nr 55
19--28
EN
In this article our aim to introduce some new I-convergent double sequence spaces of fuzzy real numbers defined by modulus function and studies their some topological and algebraic properties. Also we establish some inclusion relations.
3
Content available remote On generalized Orlicz sequence spaces defined by double sequences
Kolk E.
Fasciculi Mathematici
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2015
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Nr 55
65--80
EN
S.D. Parashar and B. Choudhary defined in 1994 certain paranorms for some Orlicz sequence spaces. Their ideas are applied later for topologization of various generalized Orlicz sequence spaces. The author determines in 2011 some alternative F-seminorms (which are also paranorms) for such spaces. In this paper these results are extended to generalized Orlicz sequence spaces defined via double sequences.
4
Content available remote On some new sequence spaces and statistical convergence methods for double sequences
Belen C., Yildirim M.
Demonstratio Mathematica
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2014
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Vol. 47, nr 3
627--637
EN
In this paper, we introduce some new double sequence spaces with respect to an Orlicz function and define two new convergence methods related to the concepts of statistical convergence and lacunary statistical convergence for double sequences. We also present some inclusion theorems for our newly defined sequence spaces and statistical convergence methods.
5
Content available remote On a study of double gai sequence space
Subramanian N., Misra U. K.
Journal of Mathematics and Applications
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2013
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Vol. 36
95--111
EN
Let χ2 denote the space of all prime sense double gai sequences and Λ2 the space of all prime sense double analytic sequences. This paper is devoted to the general properties of χ2.
6
Content available remote The Nörlund Orlicz space of double gai sequences
Subramanian N., Misra U.
Fasciculi Mathematici
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2011
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Nr 46
131--139
EN
Let x2 denotes the space of all double gai sequences. Let 2denotes the space of all double analytic sequences. This paper is devoted to a study of the general properties of Nörlund double Orlicz space of gai sequence space ŋ (x2M) and x2M and Nörlund double Orlicz space of analytic sequence space ŋ (ᴧ2M) and 2M).
7
Content available remote The Nörlund space of double entire sequences
Subramanian N., Esi A.
Fasciculi Mathematici
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2010
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Nr 43
147-153
EN
Let Γ2 denote the spaces of all double entire sequences. Let Λ2 denote the spaces of all double analytic sequences. This paper is devoted to a study of the general properties of Nörlund double entire sequence space η (Γ2), Γ2 and also study some of the properties of η (Γ2) and η Λ2.
8
Content available remote The double sequence space Γ2
Subramanian N., Tripathy B. C., Murugesan C.
Fasciculi Mathematici
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2008
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Nr 40
91-103
EN
Let Γ2 denote the space of all prime sense double entire sequences and Λ2 the space of all prime sense double analytic sequences. This paper is devoted to the general properties of Γ2.
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