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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
Publikováno v:
Abstract and Applied Analysis, Vol 2014 (2014)
In the first part of the paper, following the works of Pehlivan et al. (2004), we study the set of all A-statistical cluster points of sequences in m-dimensional spaces and make certain investigations on the set of all A-statistical cluster points of
Externí odkaz:
https://doaj.org/article/df5dc32d206a43af885f6c3c86eb195d
Publikováno v:
Abstract and Applied Analysis, Vol 2014 (2014)
We consider the recently introduced notion of ℐ-statistical convergence (Das, Savas and Ghosal, Appl. Math. Lett., 24(9) (2011), 1509–1514, Savas and Das, Appl. Math. Lett. 24(6) (2011), 826–830) in probabilistic normed spaces and in the follow
Externí odkaz:
https://doaj.org/article/c9aee27373b94d149c5307ba1a776d52
Publikováno v:
Abstract and Applied Analysis, Vol 2013 (2013)
Following the line of (Das et al., 2011, Savas and Das, 2011), we make a new approach in this paper to extend the notion of strong convergence and more general strong statistical convergence (Şençimen and Pehlivan, 2008) using ideals and introduce
Externí odkaz:
https://doaj.org/article/8eae45f5d79c44b18af7683bd9e18c52
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...