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- W4226363874 abstract "In this study, we construct the difference sequence spaces lp (P?2q) = (lp)P?2q, 1 ? p ? ?, where P = (?rs) is an infinite matrix of Padovan numbers %s defined by ?rs = {?s/?r+5-2 0 ? s ? r, 0 s > r. and ?2q is a q-difference operator of second order. We obtain some inclusion relations, topological properties, Schauder basis and ?-, ?- and ?-duals of the newly defined space. We characterize certain matrix classes from the space lp (P?2q) to any one of the space l1, c0, c or l?. We examine some geometric properties and give certain estimation for von-Neumann Jordan constant and James constant of the space lp(P). Finally, we estimate upper bound for Hausdorff matrix as a mapping from lp to lp(P)." @default.
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- W4226363874 date "2022-01-01" @default.
- W4226363874 modified "2023-09-25" @default.
- W4226363874 title "Domain of Padovan q-difference matrix in sequence spaces lp and l∞" @default.
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- W4226363874 doi "https://doi.org/10.2298/fil2203905y" @default.
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