Şimşek, Necip On some geometric properties of sequence space defined by de la Vallée-Poussin mean. (English) Zbl 1236.46013 J. Comput. Anal. Appl. 13, No. 3, 565-573 (2011). Summary: We investigate \(k\)-nearly uniformly convex \((k\)-NUC) and the uniform Opial properties of the sequence space defined by the de la Vallée-Poussin mean. Also we give some corollaries concerning the geometrical properties of this space. Cited in 3 Documents MSC: 46B20 Geometry and structure of normed linear spaces 46B45 Banach sequence spaces 46A45 Sequence spaces (including Köthe sequence spaces) Keywords:\(k\)-nearly uniformly convex; uniform Opial properties; sequence space; de la Vallée-Poussin mean PDFBibTeX XMLCite \textit{N. Şimşek}, J. Comput. Anal. Appl. 13, No. 3, 565--573 (2011; Zbl 1236.46013) Full Text: arXiv