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1
Content available Some triple difference rough Cesàro and lacunary statistical sequence spaces
Esi A., Subramanian N.
Journal of Mathematics and Applications
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2018
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Vol. 41
81--93
EN
We generalized the concepts in probability of rough Cesàro and lacunary statistical by introducing the difference operator Δ[αγ] of fractional order, where α is a proper fraction and γ = (γmnk) is any fixed sequence of nonzero real or complex numbers. We study some properties of this operator involving lacunary sequence θ and arbitrary sequence p = (prst) of strictly positive real numbers and investigate the topological structures of related with triple difference sequence spaces. The main focus of the present paper is to generalized rough Cesaro and lacunary statistical of triple difference sequence spaces and investigate their topological structures as well as some inclusion concerning the operator Δ[αγ].
2
Content available Some strongly almost summable sequence spaces
Sharma S. K., Esi A.
Journal of Mathematics and Applications
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2017
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Vol. 40
171--183
EN
In the present paper we introduce some strongly almost summable sequence spaces using ideal convergence and Musielak-Orlicz function M = (Mk) in n-normed spaces. We examine some topological properties of the resulting sequence spaces.
3
Content available remote On lacunary p-absolutely summable fuzzy real-valued double sequence space
Dutta A. J., Esi A., Tripathy B. C.
Demonstratio Mathematica
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2014
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Vol. 47, nr 3
652--661
EN
In this article, we introduce the class of p-absolutely summable fuzzy real valued double sequence (…). We have studied some algebraic properties like solid, symmetric, convergence free, sequence algebra. Further, we establish some relation with the class of p-Cesàro summable double sequences and some other important inclusion results.
4
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.
5
Content available remote On some generalized new type difference sequence spaces defined by a modulus function in a seminformed space
Esi A., Tripathy B. C.
Fasciculi Mathematici
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2008
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Nr 40
15-24
EN
The idea of difference sequence spaces were introduced by Kizmaz [6] and generalized by Et. and Colak [4]. Later Tripathy, Esi and Tripathy [15] introduced the notion of the new difference operator Δnm for n, m ∈ N. In this paper we introduced some new type of generalized difference sequence spaces defined by a modulus function and the new type of statistically convergent generalized difference sequence space. We study their different properties and obtain some inclusion relations involving these new type difference sequence spaces.
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