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Some geometric and topological properties of a new sequence space defined by de la Vallée-Poussin mean. (English) Zbl 1200.46006
Summary: The main purpose of this paper is to introduce a new sequence space by using de la Vallée-Poussin mean and investigate both the modular structure with some geometric properties and some topological properties with respect to the Luxemburg norm.
MSC:
46A45Sequence spaces
46B20Geometry and structure of normed linear spaces
46B45Banach sequence spaces