TY - JOUR
AU - A. K. Verma
AU - S. Kumar
PY - 2022/05/20
Y2 - 2022/10/07
TI - Generalized vector-valued paranormed sequence spaces defined by a sequence of Orlicz functions
JF - Ukrainsâ€™kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 74
IS - 4
SE - Research articles
DO - 10.37863/umzh.v74i4.6549
UR - http://umj.imath.kiev.ua/index.php/umj/article/view/6549
AB - UDC 517.9We 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 $\inf_k p_k>0.$ Properties related to this space are studied under certain conditions. Some inclusion relations are obtained and a result related to subspace with Orlicz functions satisfying $\Delta_2$-condition has also been proved.
ER -