Zobrazeno 1 - 10
of 274
pro vyhledávání: '"Amar Kumar P"'
In this paper we have introduced the notion of $\mathcal{I}$-sparse set in the space of reals and explored some properties of the family of $\mathcal{I}$-sparse sets. Thereafter we have induced a topology namely $\mathcal{I}$-sparse set topology in t
Externí odkaz:
http://arxiv.org/abs/2410.12503
Autor:
Khatun, Sukila, Banerjee, Amar Kumar
In this paper, using the concept of natural density, we have introduced the ideas of statistical and rough statistical convergence in an $S$-metric space. We have investigated some of their basic properties. We have defined statistical Cauchyness and
Externí odkaz:
http://arxiv.org/abs/2408.14973
Autor:
khatun, Sukila, Banerjee, Amar Kumar
In this paper, using the concept of natural density, we have introduced the notion of rough statistical convergence which is an extension of the notion of rough convergence in a partial metric space. We have defined the set of rough statistical limit
Externí odkaz:
http://arxiv.org/abs/2402.14452
Autor:
Khatun, Sukila, Banerjee, Amar Kumar
Mlaiki et al.\cite{MLA} introduced the idea of controlled metric type spaces, which is a new extension of $b$-metric spaces with addition of a controlled function $\alpha(x,y)$ of the right-hand side of the $b$-triangle inequality. Phu \cite{PHU} int
Externí odkaz:
http://arxiv.org/abs/2311.01137
In this paper we have introduced the notion of $\mathcal{I}_{(s)}$-density point corresponding to the family of unbounded and $\mathcal{I}$-monotonic increasing positive real sequences, where $\mathcal{I}$ is the ideal of subsets of the set of natura
Externí odkaz:
http://arxiv.org/abs/2310.11090
In this paper we have studied on $\mathcal{I}$-density function using the notion of $\mathcal{I}$-density, introduced by Banerjee and Debnath \cite{banerjee 4} where $\mathcal{I}$ is an ideal of subsets of the set of natural numbers. We have explored
Externí odkaz:
http://arxiv.org/abs/2307.10777
In this paper we study $I^K$-convergence of functions with respect to probabilistic norm $\nu$ which is a generalization of $I^*_{\nu}$-convergence in probabilistic norm spaces. We also study on $I^K$-Cauchy functions and $I^K$-limit points with resp
Externí odkaz:
http://arxiv.org/abs/2305.13866
Publikováno v:
Journal of Medical Sciences and Health, Vol 10, Iss 2, Pp 219-222 (2024)
Bullous haemorrhagic dermatosis (BHD), a distinctive non-immune cutaneous eruption, manifests as the formation of haemorrhagic bullae on the skin. While it is an uncommon dermatologic entity, its clinical significance is underscored by its associatio
Externí odkaz:
https://doaj.org/article/b208d57c216c4ab4b925faa8c331b62c
In this paper, we study on weak $I^K$-Cauchy condition as a generalization of weak $I^*$-Cauchy condition in a normed space. We investigate the relationship between weak $I$-Cauchy and weak $I^K$-Cauchy sequences using $AP(I,K)$-condition. Also we st
Externí odkaz:
http://arxiv.org/abs/2301.06827
Autor:
Banerjee, Amar Kumar, Khatun, Sukila
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, rough limit sets etc. which are valid in a metric space are affected in a
Externí odkaz:
http://arxiv.org/abs/2211.03463