Generalized difference sequence spaces on seminormed space defined by Orlicz functions

By B. Tripathy, Y. Altın, Mikail Et. 2008

79 citations recorded by the source corpus.

In this paper we define the sequence space ℓM (Δm, p, q, s) on a seminormed complex linear space by using an Orlicz function. We study its different algebraic and topological properties like solidness, symmetricity, monotonicity, convergence free etc. We prove some inclusion relations involving ℓM (Δm, p, q, s).

Subfields: Applied Mathematics, Mathematical Physics, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/7a66e8fe26ae3afef6e824881a048c0e1bf5a9e0

How researchers see this paper

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

In Applied Mathematics

1. Hemen Dutta
2. A. Baruah
3. B. Tripathy
4. Bipan Hazarika
5. B. Choudhary

In Mathematical Physics

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

In Statistics and Probability

1. B. Tripathy
2. Hemen Dutta
3. A. Baruah
4. B. Sarma
5. Bipan Hazarika
6. B. Choudhary
7. 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): “The notion of difference sequences was investigated from different aspects by Tripathy [16], Tripathy, Altin and Et [17], Tripathy and Baruah [18], Tripathy and Borgogain [20], Tripathy, Choudhary and Sarma [21], Tripathy and Dutta [22], Tripathy and Mahanta [27] are a few to be named.”
• 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.”