A new sequence space is defined using an Orlicz function, seminorms and -sequences in order to generalize the space , introduced and studied by W.L.C. Sargent in 1960. Later on, many authors defined several other spaces in comparison with the space . First, the author investigates the linearity, examines solidity and monotonicity and gives some inclusion results involving the spaces . Then the relation between the space and the space of -statistically convergent sequences is studied. In the last part, the relation between the space and the space of Cesàro convergence type sequences is given.
Reviewer’s remark: Certain properties like solid space, monotonicity of the space are investigated without any specific aim and almost all results are generalized versions of other results already studied by others.