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On generalized statistical convergence and strongly summable functions of weight \(g\). (English) Zbl 1454.40007

Roy, Priti Kumar (ed.) et al., Mathematical analysis and applications in modeling. Selected papers presented at the international conference, ICMAAM 2018, Kolkata, India, January 9–12, 2018. Singapore: Springer. Springer Proc. Math. Stat. 302, 125-132 (2020).
Summary: In this paper, by using a nonnegative real-valued Lebesgue measurable function in the interval \(\left( 1,\infty \right)\) we introduce the concepts of strong \((V, \lambda ,p)\)-summability and \(\lambda \)-statistical convergence of weight \(g : [0, \infty) \rightarrow [0, \infty)\) where \(g(x_n) \rightarrow \infty\) for any sequence \((x_n)\) in \([0, \infty)\) with \(x_n \rightarrow \infty \). We also examine some relations between \(\lambda \)-statistical convergence of weight \(g\) and strong \((V,\lambda, p)\)-summability of weight \(g\).
For the entire collection see [Zbl 1446.65004].

MSC:

40A35 Ideal and statistical convergence
40C05 Matrix methods for summability
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