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In this paper, new sequence spaces $X(r, s, t ;\Delta^{(m)})$ for $X\in\{l_\infty, c, c_0\}$ defined by using generalized means and differenceoperator of order $m$ are introduced. It is shown that these spaces arecomplete normed linear spaces and the spaces $c_0(r, s, t ;\Delta^{(m)})$,$c(r, s, t ;\Delta^{(m)})$ have Schauder basis. Furthermore, the $\alpha$-,$\beta$-, $\gamma$- duals of these spaces are computed and also obtainednecessary and sufficient conditions for some matrix transformations from $X(r,s, t ;\Delta^{(m)})$ to $X$. Finally, some classes of compact operators on thespaces $c_0(r, s, t ;\Delta^{(m)})$ and $l_{\infty}(r, s, t ;\Delta^{(m)})$ arecharacterized by using the Hausdorff measure of noncompactness.

"Some $m$th-order Difference Sequence Spaces of Generalized Means and Compact Operators"