1 Ocak 2021 Dergi makalesi Açık Erişim

Sadigova, S. R.

Citation Style Language JSON

{
  "DOI": "10.15330/cmp.13.2.433-451", 
  "abstract": "In this work, the concept of a point mu-statistical density is defined. Basing on this notion, the concept of mu-statistical limit, generated by some Borel measure mu (.), is defined at a point. We also introduce the concept of mu-statistical fundamentality at a point, and prove its equivalence to the concept of mu-stat convergence. The classification of discontinuity points is transferred to this case. The appropriate space of mu-stat continuous functions on the segment with sup-norm is defined. It is proved that this space is a Banach space and the relationship between this space and the spaces of continuous and Lebesgue summable functions is considered.", 
  "author": [
    {
      "family": "Sadigova", 
      "given": " S. R."
    }
  ], 
  "container_title": "CARPATHIAN MATHEMATICAL PUBLICATIONS", 
  "id": "235982", 
  "issue": "2", 
  "issued": {
    "date-parts": [
      [
        2021, 
        1, 
        1
      ]
    ]
  }, 
  "page": "433-451", 
  "title": "mu-statistical convergence and the space of functions mu-stat continuous on the segment", 
  "type": "article-journal", 
  "volume": "13"
}