1 Ocak 2021 Dergi makalesi Açık Erişim

Sadigova, S. R.

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  <dc:creator>Sadigova, S. R.</dc:creator>
  <dc:date>2021-01-01</dc:date>
  <dc:description>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.</dc:description>
  <dc:identifier>https://aperta.ulakbim.gov.trrecord/235982</dc:identifier>
  <dc:identifier>oai:aperta.ulakbim.gov.tr:235982</dc:identifier>
  <dc:rights>info:eu-repo/semantics/openAccess</dc:rights>
  <dc:rights>http://www.opendefinition.org/licenses/cc-by</dc:rights>
  <dc:source>CARPATHIAN MATHEMATICAL PUBLICATIONS 13(2) 433-451</dc:source>
  <dc:title>mu-statistical convergence and the space of functions mu-stat continuous on the segment</dc:title>
  <dc:type>info:eu-repo/semantics/article</dc:type>
  <dc:type>publication-article</dc:type>
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