On approximation of density function by shape preserving smoothing histospline

Svetlana Asmuss, Juris Breidaks, Natalja Budkina

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


The problem of approximation of a density histogram is considered as the problem of smoothing histopolation with weights under some additional restrictions, which are obtained from the properties of given histogram. The paper suggests the method for solving of the problem of histopolation when solution preserves some shape properties such as positivity, monotonicity and/or convexity. These conditions are considered as the positivity/negativity constraints on the derivative (or the derivatives) of approximants. The approach is illustrated by some numerical examples.

Original languageEnglish
Title of host publicationAPLIMAT 2016 - 15th Conference on Applied Mathematics 2016, Proceedings
EditorsDaniela Richtarikova, Dagmar Szarkova, L'udovit Balko
Place of PublicationBratislava
PublisherSlovak University of Technology in Bratislava
Number of pages14
ISBN (Electronic)978-802274531-4
Publication statusPublished - 2016
Externally publishedYes
Event15th Conference on Applied Mathematics (APLIMAT) - Bratislava, Slovakia
Duration: 2 Feb 20164 Feb 2016
Conference number: 15


Conference15th Conference on Applied Mathematics (APLIMAT)
Abbreviated titleAPLIMAT 2016
Internet address


  • Density function
  • Histosplines
  • Shape preserving problem
  • Splines in convex sets

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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