On some new type generalized difference sequence spaces

By A. Esi, B. Tripathy, B. Sarma. 2007

60 citations recorded by the source corpus.

In this paper we introduce a new type of difference operator Δmn for fixed m, n ∈ ℕ. We define the sequence spaces ℓ∞(Δmn), c(Δmn) and c0(Δmn) and study some topological properties of these spaces. We obtain some inclusion relations involving these sequence spaces. These notions generalize many earlier existing notions on difference sequence spaces.

Subfields: Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/fc8b44db56139371ade7ba871bb2fa81e530bd90

How researchers see this paper

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In Geometry and Topology

1. B. Sarma
2. B. Tripathy
3. Hemen Dutta
4. A. Baruah

Citations in the corpus

• On some lacunary difference sequence spaces defined by a sequence of Orlicz functions and q-lacunary Δnm-statistical convergence (2012, background): “[29] B.C. Tripathy and B. Sarma, Sequence spaces of fuzzy real numbers defined by Orlicz functions, Math.”
• Lacunary Statically Convergent and Lacunary Strongly Convergent Generalized Difference Sequences of Fuzzy Real Numbers (2010, background): “Different classes of difference sequence spaces were investigated by Esi, Tripathy and Sarma [4], Et, Altin, Choudhary and Tripathy [5], Tripathy [11], Tripathy, Altin and Et [12], Tripathy and Mahanta [20] and many others.”
• On I-Convergent Double Sequences of Fuzzy Real Numbers (2012, background): “The notion of sequence spaces has been investigated from different aspects by Tripathy, Choudhary and Sarma [18], Tripathy and Dutta [21] and others in the recent years.”