This is an announcement for the paper "Some geometric and topological properties of a new sequence space defined by De la Vallee-Poussin mean" by Necip Simsek, Ekrem Savas, and Vatan Karakaya.

Abstract: The main purpose of this paper is to introduce a new sequence space by using de la Vallee-Poussin mean and investigate both the modular structure with some geometric properties and some topological properties with respect to the Luxemburg norm.

Archive classification: math.FA

Mathematics Subject Classification: 46A45, 46B20, 46B45 (Primary)

Remarks: 12 pages

The source file(s), POISON.tex: 37921 bytes, is(are) stored in gzipped form as 0910.1947.gz with size 10kb. The corresponding postcript file has gzipped size 88kb.

Submitted from: nsimsek@adiyaman.edu.tr

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http://front.math.ucdavis.edu/0910.1947

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http://arXiv.org/abs/0910.1947

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