Yeni $\Delta _{q}^{v}$-fark operatörü ve topolojik özellikleri

We extented $\Delta^{v}$ by using difference operator $\Delta_{q}^{v}$. generated the sequence space $l_{p} (\Delta_{q}^{v} )$ and investigated some of their properties. showed that, if is supplied with an proper norm $\left\| . \right\|_{p,\Delta_{q}^{v} } $ then it will be a Banach space. further more spaces $\left({l_{p} ),\left\| \right)$ $\left( {l_{p} ,\left\| \right\|_{p} are linearly isometric. At end this studies, was shown that $l_{p}(\Delta _{q}^{v})\subset l_{p}\left( M,\Delta _{q}^{v}\right) $. The family Orlicz functions ${\cal M}$ coincides $\Delta_{2}$ condition.