Geodesic
On the modular sequence spaces generated by the Ces\`aro mean
Ural mathematical journal, Tome 10 (2024) no. 2, pp. 144-156

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In this paper, the seminormed Cesàro difference sequence space $ \ell(\mathcal{F}_j, q, g, r, \mu, \Delta_{({s})}^{t}, \mathcal{C}) $ is defined by using the generalized Orlicz function. Some algebraic and topological properties of the space $ \ell(\mathcal{F}_j, q, g, r, \mu, \Delta_{({s})}^{t}, \mathcal{C}) $ are investigated. Various inclusion relations for this sequence space are also studied.
Keywords: Difference sequences, Orlicz function, Modular sequence, $AK$-space and $BK$-space 
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     title = {On the modular sequence spaces generated by the {Ces\`aro} mean},
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Sukhde Singh; Toseef Ahmed Malik. On the modular sequence spaces generated by the Ces\`aro mean. Ural mathematical journal, Tome 10 (2024) no. 2, pp. 144-156. http://geodesic.mathdoc.fr/item/UMJ_2024_10_2_a12/