We have introduced a new sequence space l(r,s,t,p;Δ(m))
combining by using generalized means and difference operator of order m. We
have shown that the space l(r,s,t,p;Δ(m)) is complete under some
suitable paranorm and it has Schauder basis. Furthermore, the α-,
β-, γ- duals of this space is computed and also obtained necessary
and sufficient conditions for some matrix transformations from l(r,s,t,p;Δ(m)) to l∞​,l1​. Finally, we obtained some identities or
estimates for the operator norms and the Hausdorff measure of noncompactness of
some matrix operators on the BK space lp​(r,s,t;Δ(m)) by
applying the Hausdorff measure of noncompactness.Comment: Please withdraw this paper as there are some logical gap in some
results. 20 pages. arXiv admin note: substantial text overlap with
arXiv:1307.5883, arXiv:1307.5817, arXiv:1307.588