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Rough -statistical convergence in a partial metric space
Sukila Khatun, Khairul Hasan, Amar Kumar Banerjee
In this paper we study the notion of rough -statistical convergence of sequences in a partial metric space as an extension work of both the notions of rough statistica…
Rough ideal convergence in a partial metric space
Sukila Khatun, Amar Kumar Banerjee, Rahul Mondal
In this paper, using the concept of ideal, we study the idea of rough ideal convergence of sequences which is an extension of the notion of rough convergence of sequences in a part…
On sparse set topology using ideals in the space of reals
Indrajit Debnath, Amar Kumar Banerjee
In this paper we have introduced the notion of -sparse set in the space of reals and explored some properties of the family of -sparse sets. Thereafter we…
Statistical and rough statistical convergence in an S-metric space
Sukila Khatun, Amar Kumar Banerjee
In this paper, using the concept of natural density, we have introduced the ideas of statistical and rough statistical convergence in an -metric space. We have investigated some…
Rough convergence of sequences in a partial metric space
Amar Kumar Banerjee, Sukila Khatun
In this paper we have studied the notion of rough convergence of sequences in a partial metric space. We have also investigated how far several relevant results on boundedness, rou…
On density topology using ideals in the space of reals
Amar Kumar Banerjee, Indrajit Debnath
In this paper we have introduced the notion of -density topology in the space of reals introducing the notions of upper -density and lower -d…