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Cone normed spaces and weighted means. (English) Zbl 1205.40003

Summary: We study the main properties of cone normed spaces, and prove some theorems of weighted means in cone normed spaces.

MSC:

40A05 Convergence and divergence of series and sequences
46B99 Normed linear spaces and Banach spaces; Banach lattices
40G05 Cesàro, Euler, Nörlund and Hausdorff methods
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