subrata saha - Academia.edu (original) (raw)

Papers by subrata saha

Research paper thumbnail of On some difference sequence spaces of interval numbers

Proyecciones (Antofagasta), 2018

In this paper we introduce the sequence spaces c 0 i (∆) ,c i (∆) and i ∞ (∆) of interval numbers... more In this paper we introduce the sequence spaces c 0 i (∆) ,c i (∆) and i ∞ (∆) of interval numbers and study some of their algebraic and topological properties. Also we investigate some inclusion relations related to these spaces.

Research paper thumbnail of Asymptotically Double Lacunary Statistically Equivalent Sequences of Interval Numbers

Proyecciones (Antofagasta), 2016

In this paper we have introduced the concept of asymptotically double lacunary statistically equi... more In this paper we have introduced the concept of asymptotically double lacunary statistically equivalent of interval numbers and strong asymptotically double lacunary statistically equivalent of interval numbers. We have investigated the relations related to these spaces.

Research paper thumbnail of On some I -convergent generalized difference sequence spaces associated with multiplier sequence defined by a sequence of modulli

Proyecciones (Antofagasta), 2015

In this article we introduce the sequence spaces c I (F, Λ, ∆ m , p), c 0 I (F, Λ, ∆ m , p) and ∞... more In this article we introduce the sequence spaces c I (F, Λ, ∆ m , p), c 0 I (F, Λ, ∆ m , p) and ∞ I (F, Λ, ∆ m , p), associated with the multiplier sequence Λ = (λ k), defined by a sequence of modulli F = (f k). We study some basic topological and algebraic properties of these spaces. Also some inclusion relations are studied.

Research paper thumbnail of Regular matrix of interval numbers based on Fibonacci numbers

Afrika Matematika, 2014

The main purpose of this paper is to introduce the criterion for the regularity of a matrix whose... more The main purpose of this paper is to introduce the criterion for the regularity of a matrix whose elements are interval numbers and define a regular matrixF of interval numbers using fibonacci numbers and to introduce some new sequence spaces c i 0 (F), c i (F), l i ∞ (F) based on the newly defined regular matrix of interval numbersF and investigate some relations related to these spaces.

Research paper thumbnail of On some sequence spaces of interval vectors

Afrika Matematika, 2014

In this paper we have introduced a distance on the space of all two dimensional interval vectors ... more In this paper we have introduced a distance on the space of all two dimensional interval vectors and seen that it is complete. Furthermore, we introduce the null, convergent and bounded sequence spaces of two dimensional interval vectors and some theorems on sequence spaces of two dimensional interval vectors. Also some inclusion relations are studied.

Research paper thumbnail of Asymptotically double λ2 - statistically equivalent sequences of interval numbers

MATHEMATICA, 2020

In this paper we have introduced the concept of λ2-asymptotically double statistical equivalent o... more In this paper we have introduced the concept of λ2-asymptotically double statistical equivalent of interval numbers and strong λ2-asymptotically double statistical equivalent of interval numbers. We have investigated the relations related to these spaces. MSC 2010. 40C05, 46A45.

Research paper thumbnail of Matrix transformation on statistically convergent sequence spaces of interval number sequences

Proyecciones (Antofagasta), 2016

The main purpose of this paper is to introduce the necessary and sufficient conditions for the ma... more The main purpose of this paper is to introduce the necessary and sufficient conditions for the matrix of interval numbers A = (a nk) such that A-transform of x = (x k) belongs to the sets c S(i) 0

Research paper thumbnail of SAAMAN: Scalable address autoconfiguration in mobile ad hoc networks

Journal of Network and Systems Management, 2011

Address autoconfiguration is one of the fundamental issues in mobile ad hoc networks (MANET). A n... more Address autoconfiguration is one of the fundamental issues in mobile ad hoc networks (MANET). A node must need some form of identity before participating in any sort of communication. So each host in a MANET needs to be uniquely addressed so that the packets can be relayed hop-by-hop and delivered ultimately to the desired destination. Moreover, nodes in the MANET are free to move and organize themselves in an arbitrary fashion. Therefore any fixed infrastructure based solution for assigning identity (i.e. IP address) is not directly applicable to MANET. Under this infrastructureless and sporadic nature of the mobile nodes, several protocols of address autoconfiguration in the mobile ad hoc networks (MANET) have been proposed. Although some of these protocols perform decently in sparse and small networks, but exhibit poor performance (e.g., single point of failure, storage limitation, large protocol overhead and so on) when the network is either dense or very large. In this paper, we propose an efficient and scalable address autoconfiguration protocol that automatically configures a network A preliminary version [1] of this paper has been published in International Conference on Ad-Hoc, Mobile and Wireless Networks (ADHOC-NOW 2009).

Research paper thumbnail of On some difference sequence spaces of interval numbers

Proyecciones (Antofagasta), 2018

In this paper we introduce the sequence spaces c 0 i (∆) ,c i (∆) and i ∞ (∆) of interval numbers... more In this paper we introduce the sequence spaces c 0 i (∆) ,c i (∆) and i ∞ (∆) of interval numbers and study some of their algebraic and topological properties. Also we investigate some inclusion relations related to these spaces.

Research paper thumbnail of Asymptotically Double Lacunary Statistically Equivalent Sequences of Interval Numbers

Proyecciones (Antofagasta), 2016

In this paper we have introduced the concept of asymptotically double lacunary statistically equi... more In this paper we have introduced the concept of asymptotically double lacunary statistically equivalent of interval numbers and strong asymptotically double lacunary statistically equivalent of interval numbers. We have investigated the relations related to these spaces.

Research paper thumbnail of On some I -convergent generalized difference sequence spaces associated with multiplier sequence defined by a sequence of modulli

Proyecciones (Antofagasta), 2015

In this article we introduce the sequence spaces c I (F, Λ, ∆ m , p), c 0 I (F, Λ, ∆ m , p) and ∞... more In this article we introduce the sequence spaces c I (F, Λ, ∆ m , p), c 0 I (F, Λ, ∆ m , p) and ∞ I (F, Λ, ∆ m , p), associated with the multiplier sequence Λ = (λ k), defined by a sequence of modulli F = (f k). We study some basic topological and algebraic properties of these spaces. Also some inclusion relations are studied.

Research paper thumbnail of Regular matrix of interval numbers based on Fibonacci numbers

Afrika Matematika, 2014

The main purpose of this paper is to introduce the criterion for the regularity of a matrix whose... more The main purpose of this paper is to introduce the criterion for the regularity of a matrix whose elements are interval numbers and define a regular matrixF of interval numbers using fibonacci numbers and to introduce some new sequence spaces c i 0 (F), c i (F), l i ∞ (F) based on the newly defined regular matrix of interval numbersF and investigate some relations related to these spaces.

Research paper thumbnail of On some sequence spaces of interval vectors

Afrika Matematika, 2014

In this paper we have introduced a distance on the space of all two dimensional interval vectors ... more In this paper we have introduced a distance on the space of all two dimensional interval vectors and seen that it is complete. Furthermore, we introduce the null, convergent and bounded sequence spaces of two dimensional interval vectors and some theorems on sequence spaces of two dimensional interval vectors. Also some inclusion relations are studied.

Research paper thumbnail of Asymptotically double λ2 - statistically equivalent sequences of interval numbers

MATHEMATICA, 2020

In this paper we have introduced the concept of λ2-asymptotically double statistical equivalent o... more In this paper we have introduced the concept of λ2-asymptotically double statistical equivalent of interval numbers and strong λ2-asymptotically double statistical equivalent of interval numbers. We have investigated the relations related to these spaces. MSC 2010. 40C05, 46A45.

Research paper thumbnail of Matrix transformation on statistically convergent sequence spaces of interval number sequences

Proyecciones (Antofagasta), 2016

The main purpose of this paper is to introduce the necessary and sufficient conditions for the ma... more The main purpose of this paper is to introduce the necessary and sufficient conditions for the matrix of interval numbers A = (a nk) such that A-transform of x = (x k) belongs to the sets c S(i) 0

Research paper thumbnail of SAAMAN: Scalable address autoconfiguration in mobile ad hoc networks

Journal of Network and Systems Management, 2011

Address autoconfiguration is one of the fundamental issues in mobile ad hoc networks (MANET). A n... more Address autoconfiguration is one of the fundamental issues in mobile ad hoc networks (MANET). A node must need some form of identity before participating in any sort of communication. So each host in a MANET needs to be uniquely addressed so that the packets can be relayed hop-by-hop and delivered ultimately to the desired destination. Moreover, nodes in the MANET are free to move and organize themselves in an arbitrary fashion. Therefore any fixed infrastructure based solution for assigning identity (i.e. IP address) is not directly applicable to MANET. Under this infrastructureless and sporadic nature of the mobile nodes, several protocols of address autoconfiguration in the mobile ad hoc networks (MANET) have been proposed. Although some of these protocols perform decently in sparse and small networks, but exhibit poor performance (e.g., single point of failure, storage limitation, large protocol overhead and so on) when the network is either dense or very large. In this paper, we propose an efficient and scalable address autoconfiguration protocol that automatically configures a network A preliminary version [1] of this paper has been published in International Conference on Ad-Hoc, Mobile and Wireless Networks (ADHOC-NOW 2009).