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• W2963856606 abstract "This paper presents new sequence spaces X(r,s,t,p;B) for X ∈ {l∞(p),c(p),c0(p),l(p)} defined by using generalized means and difference operator. It is shown that these spaces are complete paranormed spaces and the spaces X(r,s,t,p;B) for X ∈ {c(p),c0(p),l(p)} have Schauder basis. Furthermore, the α-, β-, γ- duals of these sequence spaces are computed and also obtained necessary and sufficient conditions for some matrix transformations from X(r,s,t,p;B) to X. Finally, some classes of compact operators on the space lp(r,s,t;B) are characterized by using the Hausdorff measure of noncompactness. 2010 Mathematics Subject Classification: 46A45, 46B15, 46B50." @default.
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• W2963856606 date "2017-01-01" @default.
• W2963856606 modified "2023-09-30" @default.
• W2963856606 title "Some B-difference sequence spaces derived by generalized means and compact operators" @default.
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• W2963856606 doi "https://doi.org/10.5937/kgjmath1701007m" @default.
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