{
  "id": "0910.1947",
  "version": "v1",
  "published": "2009-10-10T21:53:56.000Z",
  "updated": "2009-10-10T21:53:56.000Z",
  "title": "Some Geometric and Topological Properties of a New Sequence Space Defined by De la Vallee-Poussin Mean",
  "authors": [
    "Necip Simsek",
    "Ekrem Savas",
    "Vatan Karakaya"
  ],
  "comment": "12 pages",
  "categories": [
    "math.FA"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-10-10T21:53:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46A45",
      "46B20",
      "46B45"
    ],
    "keywords": [
      "sequence space",
      "vallee-poussin mean",
      "topological properties",
      "modular structure",
      "luxemburg norm"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0910.1947S"
    }
  }
}