Applications of four dimensional matrices to generating some roughly I2-convergent double sequence spaces.

In [3] Dündar introduced the notion of rough I2-convergence and obtained two criteria for rough I2-convergence. In the present paper we introduce some new rough ideal convergent sequence spaces of Musielak-Orlicz functions and four dimensional bounded- regular matrices. We study some topological and algebraic properties of these spaces. We also establish some inclusion relations between these spaces. Finally, we examine that these spaces are normal as well as monotone and sequence algebras. [ABSTRACT FROM AUTHOR]