@article{Verma_Kumar_2022, title={Generalized vector-valued paranormed sequence spaces defined by a sequence of Orlicz functions}, volume={74}, url={http://umj.imath.kiev.ua/index.php/umj/article/view/6549}, DOI={10.37863/umzh.v74i4.6549}, abstractNote={<p>UDC 517.9</p> <p>We introduced a class of generalized vector-valued paranormed sequence space $X[E,A,\Delta_v^m,M,p]$ by using a sequence of Orlicz functions $M=(M_k),$ a non-negative infinite matrix $A=[a_{nk}],$ generalized difference operator $\Delta_v^m$ and bounded sequence of positive real numbers $p_k$ with $\inf_k p_k>0.$<span class="Apple-converted-space"> </span>Properties related to this space are studied under certain conditions.<span class="Apple-converted-space"> </span>Some inclusion relations are obtained and a result related to subspace with Orlicz functions satisfying $\Delta_2$-condition has also been proved.</p>}, number={4}, journal={Ukrainsâ€™kyi Matematychnyi Zhurnal}, author={Verma, A. K. and Kumar, S.}, year={2022}, month={May}, pages={486 - 495} }