On the modular sequence spaces generated by the Cesàro mean

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.