Generalized difference sequence spaces and their dual spaces

The definition of the <f>pα</f>-, <f>pβ</f>- and <f>pγ</f>-duals of a sequence space was defined by Et [Internat. J. Math. Math. Sci. 24 (2000) 785–791]. In this paper we compute <f>pα</f>- and <f>N</f>-duals of the sequence spaces <f>Δmv(X)</f> for <f>X=ℓ∞</f>, <f>c</f> and <f>c0</f>, and compute <f>β</f>- and <f>γ</f>-duals of the sequence spaces <f>Δmv(X)</f> for <f>X=ℓ∞</f>, <f>c</f> and <f>c0</f>. [Copyright &y& Elsevier]