On Generalized Difference Sequence Space defined over Class of p-Supremum Bounded Variation Sequences

摘要

Recently, the monotone decreasing coefficiets of sine series has been generalized by classes of General Monotone Sequences. Further class of General Monotone can be extended to classes of p-Supremum Bounded Variation Sequences. In this paper we define the generalized difference sequence by class of p-supremum bounded variation sequences. It will be proved that this class is separable Banach space. In this paper we also investigate general properties of generalized difference sequence of p-Supremum Bounded Variation Sequences.