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Papers by Rupam Haloi
Boletim da Sociedade Paranaense de Matemática
The current article introduces the notion of asymptotically lacunary (Deltan,mu)(\Delta^n,\mu)(Deltan,mu)-statistical... more The current article introduces the notion of asymptotically lacunary (Deltan,mu)(\Delta^n,\mu)(Deltan,mu)-statistical equivalent sequence in the settings of a probabilistic norm NNN. Furthermore, the article presents the concepts of asymptotically (Deltan,mu)(\Delta^n,\mu)(Deltan,mu)-strongly Ces\'{a}ro equivalent sequences and asymptotically (Deltan,mu)(\Delta^n,\mu)(Deltan,mu)-strongly Ces\'{a}ro Orlicz equivalent sequences in the theory of probabilistic normed spaces and also investigates their various properties including some inclusion relations as well as some equivalent conditions in this new settings.
\mu -Statistical Convergence of Sequences in Probabilistic n-Normed Spaces
Springer Proceedings in Mathematics & Statistics, 2020
μ-Statistically Convergent Multiple Sequences in Probabilistic Normed Spaces
Trends in Mathematics, 2018
In this article, we introduce the notions of μ-statistically convergent and μ-statistically Cauch... more In this article, we introduce the notions of μ-statistically convergent and μ-statistically Cauchy multiple sequences in probabilistic normed spaces (in short PN-spaces). We also give a suitable characterization for μ-statistically convergent multiple sequences in PN-spaces. Moreover, we introduce the notion of μ-statistical limit points for multiple sequences in PN-spaces, and we give a relation between μ-statistical limit points and limit points of multiple sequences in PN-spaces.
In this paper, we introduce the notions of μ-statistically lacunary convergence of generalized di... more In this paper, we introduce the notions of μ-statistically lacunary convergence of generalized difference sequence in probabilistic normed spaces and investigate some characterizations. Furthermore, the notion of μ-statistically lacunary Cauchy for generalized difference sequences has been developed in the settings of probabilistic norm and investigated some of its properties. M.S.C. 2010: 40A05, 40G15, 46A45.
Proyecciones (Antofagasta), 2019
Boletim da Sociedade Paranaense de Matemática
The current article introduces the notion of asymptotically lacunary (Deltan,mu)(\Delta^n,\mu)(Deltan,mu)-statistical... more The current article introduces the notion of asymptotically lacunary (Deltan,mu)(\Delta^n,\mu)(Deltan,mu)-statistical equivalent sequence in the settings of a probabilistic norm NNN. Furthermore, the article presents the concepts of asymptotically (Deltan,mu)(\Delta^n,\mu)(Deltan,mu)-strongly Ces\'{a}ro equivalent sequences and asymptotically (Deltan,mu)(\Delta^n,\mu)(Deltan,mu)-strongly Ces\'{a}ro Orlicz equivalent sequences in the theory of probabilistic normed spaces and also investigates their various properties including some inclusion relations as well as some equivalent conditions in this new settings.
\mu -Statistical Convergence of Sequences in Probabilistic n-Normed Spaces
Springer Proceedings in Mathematics & Statistics, 2020
μ-Statistically Convergent Multiple Sequences in Probabilistic Normed Spaces
Trends in Mathematics, 2018
In this article, we introduce the notions of μ-statistically convergent and μ-statistically Cauch... more In this article, we introduce the notions of μ-statistically convergent and μ-statistically Cauchy multiple sequences in probabilistic normed spaces (in short PN-spaces). We also give a suitable characterization for μ-statistically convergent multiple sequences in PN-spaces. Moreover, we introduce the notion of μ-statistical limit points for multiple sequences in PN-spaces, and we give a relation between μ-statistical limit points and limit points of multiple sequences in PN-spaces.
In this paper, we introduce the notions of μ-statistically lacunary convergence of generalized di... more In this paper, we introduce the notions of μ-statistically lacunary convergence of generalized difference sequence in probabilistic normed spaces and investigate some characterizations. Furthermore, the notion of μ-statistically lacunary Cauchy for generalized difference sequences has been developed in the settings of probabilistic norm and investigated some of its properties. M.S.C. 2010: 40A05, 40G15, 46A45.
Proyecciones (Antofagasta), 2019