On a problem of smoothing histopolation under additional restrictions

Svetlana Asmuss, Juris Breidaks, Natalja Budkina

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Citation (Scopus)


The problem of approximation of a density histogram is considered as the problem of smoothing histopolation with weights under some additional restrictions. The generalization of this problem for Hilbert spaces allows us to investigate this problem, prove the existence of its solutions and suggest the method for their construction. The other possibilities for using the obtained results in the statistical estimation problems are discussed.

Original languageEnglish
Title of host publicationAPLIMAT 2015 - 14th Conference on Applied Mathematics, Proceedings
EditorsDagmar Szarkova, Ludovit Balko, Daniela Richtarikova
Place of PublicationBratislava
PublisherSlovak University of Technology in Bratislava
Number of pages11
ISBN (Electronic)9781-51080123-3
Publication statusPublished - 2015
Externally publishedYes
Event14th Conference on Applied Mathematics (APLIMAT) - Bratislava, Slovakia
Duration: 3 Feb 20155 Feb 2015
Conference number: 14


Conference14th Conference on Applied Mathematics (APLIMAT)
Abbreviated titleAPLIMAT 2015
Internet address


  • Density function
  • Histosplines
  • Interpolating splines
  • Mixed splines
  • Smoothing splines

Field of Science*

  • 1.1 Mathematics

Publication Type*

  • 3.1. Articles or chapters in proceedings/scientific books indexed in Web of Science and/or Scopus database


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