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},
     volume = {45},
     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/