@article{Mohapatra_Sarigol_2017, title={On matrix operators on the series space $|\bar{N}_p^θ|_k$}, volume={69}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/1800}, abstractNote={Recently, the space $|\bar{N}_p^θ|_k$
has been generated from the set of $k$-absolutely convergent series $\ell_k$ as the set of series
summable by the absolute weighted method. In the paper, we investigate some properties of this space, such as $\beta$ -duality
and the relationship with \ell k and then show that each element in the classes
$\Bigl(|\bar{N}_p|,\;|\bar{N}_p^θ|_k\Bigr)$ and
$\Bigl(|\bar{N}_p^θ|_k,\;|\bar{N}_q|\Bigr)$ of infinite matrices corresponds to a continuous linear operator and also characterizes these classes. Hence, in the special case, we
deduce some well-known results of Sarıg¨ol, Bosanquet, Orhan, and Sunouchi.}, number={11}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={MohapatraR. N. and SarigolM. A.}, year={2017}, month={Nov.}, pages={1524-1533} }