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pro vyhledávání: '"Pratulananda Das"'
Autor:
Pratulananda Das
Publikováno v:
Axioms, Vol 11, Iss 1, p 1 (2021)
In this survey article, we look into some recent results concerning summability matrices, both regular as well as those which are not regular (called semi-regular) and generated matrix ideals as the overall view of the inter relationship between the
Externí odkaz:
https://doaj.org/article/618b2951d3af4296bd45e7796453c66a
Publikováno v:
Arab Journal of Mathematical Sciences, Vol 21, Iss 2, Pp 253-265 (2015)
In this paper the ideas of different types of convergence of a sequence of random variables in probability, namely, statistical convergence of order α in probability, strong p-Cesàro summability of order α in probability, lacunary statistical con
Externí odkaz:
https://doaj.org/article/447a5344ad1849209b86b49de04b582b
Autor:
Pratulananda Das, Ayan Ghosh
Publikováno v:
Annals of Pure and Applied Logic. 174:103289
Autor:
Pratulananda Das, Kumardipta Bose
Publikováno v:
Periodica Mathematica Hungarica. 84:47-55
Recently in Dikranjan et al. (Fund Math 249: 185–209, 2020) an uncountable Borel subgroup $$t^s_{(2^n)}({\mathbb T}) $$ (called statistically characterized subgroup) was constructed containing the Prufer group $${\mathbb Z}(2^\infty )$$ using the n
Autor:
Pratulananda Das, A. Ghosh
Publikováno v:
Acta Mathematica Hungarica. 164:243-264
We consider an extended version of Armacost’s problem of “description of topologically torsion elements” of the circle group and describe topologically $$s$$ -torsion and topologically $$\alpha$$ -torsion elements (which form the statistically
Autor:
Ayan Ghosh, Pratulananda Das
Publikováno v:
Indagationes Mathematicae. 32:598-618
In this article, we consider the generalized version d g f of the natural density function introduced in Bose et al. (2018) where g : N → [ 0 , ∞ ) satisfies g ( n ) → ∞ and n g ( n ) ↛ 0 whereas f is an unbounded modulus function and gener
Publikováno v:
Quaestiones Mathematicae. 45:423-442
This article is a continuation of the study of bornological open covers and related selection principles in metric spaces done in (Chandra et al. 2020 [6]) using the idea of strong uniform converge...
Publikováno v:
Acta Mathematica Hungarica. 162:633-646
We introduce a new version of characterized subgroups of the circle group $$\mathbb{T}$$ that we call " $$\alpha$$ -statistically characterized subgroups", in line of the very recent work [11], using the notion of statistical convergence of order $$\
Publikováno v:
Colloquium Mathematicum. 159:29-45
Publikováno v:
Fundamenta Mathematicae. 249:185-209