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- W2964016977 abstract "In this paper, new sequence spaces $X(r, s, t ;Delta^{(m)})$ for $Xin {l_infty, c,$ $c_0}$ defined by using generalized means and difference operator of order $m$ are introduced. It is shown that these spaces are complete 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 obtained necessary and sufficient conditions for some matrix transformations from $X(r, s, t ;Delta^{(m)})$ to $X$. Finally, some classes of compact operators on the spaces $c_0(r, s, t ;Delta^{(m)})$ and $l_{infty}(r, s, t ;Delta^{(m)})$ are characterized by using the Hausdorff measure of ." @default.
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- W2964016977 date "2015-01-01" @default.
- W2964016977 modified "2023-09-24" @default.
- W2964016977 title "Some $m$th-order Difference Sequence Spaces of Generalized Means and Compact Operators" @default.
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- W2964016977 doi "https://doi.org/10.15352/afa/06-1-13" @default.
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