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Pratulananda Das

Publications and source records attributed to Pratulananda Das.

20 records · Page 2Linked to original sources

arXiv2016

Statistical convergence of order $α$ in probability

In this paper ideas of different types of convergence of a sequence of random variables in probability, namely, statistical convergence of order $α$ in probability, strong $p$-Ces$\grave{\mbox{a}}$ro summability of order $α$ in probability, lacunary statistical convergence or $S_θ$-convergence of order $α$ in probability, ${N_θ}$-convergence of order $α$ in probability have been introduced and their certain basic properties have been studied.

math.PR↗

arXiv2014

$\mathcal I^{\mathcal K}$-Cauchy functions

In this paper we introduce the notion of $\mathcal I^{\mathcal K}$-Cauchy function, where $\mathcal I$ and $\mathcal K$ are ideals on the same set. The $\mathcal I^{\mathcal K}$-Cauchy functions are a generalization of $\mathcal I^*$-Cauchy sequences and $\mathcal I^*$-Cauchy nets. We show how this notion can be used to characterize complete uniform spaces and we study how $\mathcal I^{\mathcal K}$-Cauchy functions and $\mathcal I$-Cauchy functions are related. We also define and study $\mathcal I^{\mathcal K}$-divergence of functions.

math.GN↗