Abstract

In this paper, wedefine the sequence spaces hc (?(m)v,M,u,p), h0 (?(m) v,M,u,p) and h?(?(m)v,M,u,p) resulting from the infinite Hilbert matrix and the Musielak-Orlicz function. We give some topological properties and inclusion relations of these newly created spaces. We also identified ??, ?? and ??duals of the spaces. Finally, we tried to characterize some matrix transformations between these spaces.

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