Generalized I of strongly Lacunary of χ2 over p-metric spaces defined by Musielak Orlicz function.

In this paper, we introduce generalized difference sequence spaces via ideal convergence, lacunary of χ2 sequence spaces over p-metric spaces defined by Musielak function, and examine the Musielak-Orlicz function which satisfies uniform Δ2 condition, and we also discuss some topological properties of the resulting spaces of χ2 with respect to ideal structures which is solid and monotone. Hence, given an example of the space χ2, this is not solid and not monotone. This theory is very useful for statistical convergence and also is applicable to rough convergence. [ABSTRACT FROM AUTHOR]