CHARACTERIZATION OF SOME MATRIX CLASSES INVOLVING PARANORMED SEQUENCE SPACES

By B. Tripathy, M. Sen. 2006

70 citations recorded by the source corpus.

In this article we characterize some matrix classes with one member as $ {m}(p) $ or $ {m}_0(p) $ or $ c(p) $ or $ c_0(p)$. Some of these results generalize the existing results. Some are new proved in the general setting.

Subfields: Applied Mathematics, Management Science and Operations Research, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/7a6dd1545f3619eea6b1f2bc072df6d0550720f7

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

In Management Science and Operations Research

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

In Statistics and Probability

1. B. Tripathy
2. B. Sarma
3. B. Choudhary
4. Bipan Hazarika
5. Hemen Dutta
6. A. Baruah
7. Amar Jyoti Dutta
8. Stuti Borgohain

Citations in the corpus

• I-Monotonic and I-Convergent Sequences (2011, background): “Later on it was further investigated from sequence space point of view and linked with Summability Theory by Salat [5], Rath and Tripathy [4], Tripathy ([9], [10], [11], [12], [13], [14]), Tripathy and Baruah [15], Tripathy and Sarma [19], Tripaty and Sen ([21], [22]) and many others.”
• On some lacunary difference sequence spaces defined by a sequence of Orlicz functions and q-lacunary Δnm-statistical convergence (2012, background): “The notion of paranormed sequences has been investigated from sequence space point of view and linked with summability theory by Rath and Tripathy [12], Tripathy [16], Tripathy and Dutta [22], Tripathy and Hazarika [25], Tripathy and Sen ([32], [33]) and many others.”
• Lacunary I-Convergent Sequences (2012, methodology): “The notion of statistical convergence was investigated from sequence space point of view and linked with summability theory by Rath and Tripathy [7], Tripathy ([10], [11]), Tripathya and Baruah [12], Tripathy and Sarma [20], Tripathy and Sen ([22], [23]) and many others.”
• On I-Convergent Double Sequences of Fuzzy Real Numbers (2012, background): “Different classes of statistically convergent sequence spaces have been investigated and related with characterization of matrix classes by Rath and Tripathy [11], Tripathy ([12], [13], [14]), Tripathy and Sen ([26], [27]) and many others.”
• Lacunary Statically Convergent and Lacunary Strongly Convergent Generalized Difference Sequences of Fuzzy Real Numbers (2010, background): “Later on it was studied from sequences space point of view and linked with summability theory by Rath and Tripathy [8], Tripathy ([9], [10]), Tripathy and Sarma [22], Tripathy and Sen ([23], [24]) and many others.”