Paranorm I-convergent sequence spaces

By B.C. Tripathy, Bipan Hazarika. 2009

135 citations recorded by the source corpus.

In this article we introduced the sequence spaces cI(p), c0I(p), mI(p) and m0I(p) for p = (pk), a sequence of positive real numbers. We study some algebraic and topological properties of these spaces. We prove the decomposition theorem and obtain some inclusion relations.

Subfields: Geometry and Topology, Mathematical Physics, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/afd56fabe1c02dd855551ed29772eaecb1e9ba6d

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Hemen Dutta
2. B. Tripathy
3. Bipan Hazarika
4. B. Sarma

In Mathematical Physics

1. B. Tripathy
2. Hemen Dutta
3. Bipan Hazarika
4. B. Sarma

In Statistics and Probability

1. Bipan Hazarika
2. Hemen Dutta
3. B. Tripathy
4. B. Sarma
5. B. Choudhary
6. Amar Jyoti Dutta

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): “[25] B.C. Tripathy and B. Hazarika: Paranormed I-convergent sequences spaces; Math.”
• I-Monotonic and I-Convergent Sequences (2011, background): “Later on it was studied by Salat, Tripathy and Ziman ([8], [9]), Demirci [1], Tripathy and Hazarika ([16], [17], [18]), Tripathy and Mahanta [20] and others.”
• Lacunary I-Convergent Sequences (2012, unknown): “Later on it was studied by Demirci [1], Salat, Tripathy and Ziman ([8],[9]), Tripathy and Hazarika ([14], [15], [16], [17]), Tripathy and Mahanta [19], Tripathy and Sarma [21] and many others.”