Geodesic
A Note on Probability Convergence Defined by Unbounded Modulus Function and $\alpha\beta$-Statistical Convergence
Kragujevac Journal of Mathematics, Tome 45 (2021) no. 1, p. 127 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

{In this paper we define $f-\alpha\beta$-statistical convergence of order $\gamma$ in probability and $f-\alpha\beta$-strong $p$-Ces$\grave{\mbox{a}}$ro summability of order $\gamma$ in probability for a sequence of random variables under unbounded modulus function and examine the relation between these two concepts. We show by an example that this notion of $f-\alpha\beta$-statistical convergence of order $\gamma$ in probability is stronger than $\alpha\beta$-statistical convergence of order $\gamma$ in probability \cite{pd}.}
Classification : 40A35 40G15, 60B10
Keywords: $\alpha\beta$-statistical convergence, $f$-statistical convergence, $f-\alpha\beta$-statistical convergence of order $\gamma$ in probability, $f-\alpha\beta$-strong $p$-Ces$\grave\mboxa$ro summability of order $\gamma$ in probability 
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     author = {Sumit Som},
     title = {A {Note} on {Probability} {Convergence} {Defined} by {Unbounded} {Modulus} {Function} and $\alpha\beta${-Statistical} {Convergence}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {127 },
     publisher = {mathdoc},
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     number = {1},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2021_45_1_a9/}
}
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Sumit Som. A Note on Probability Convergence Defined by Unbounded Modulus Function and $\alpha\beta$-Statistical Convergence. Kragujevac Journal of Mathematics, Tome 45 (2021) no. 1, p. 127 . http://geodesic.mathdoc.fr/item/KJM_2021_45_1_a9/