Trudy Instituta Matematiki i Mekhaniki UrO RAN
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Trudy Inst. Mat. i Mekh. UrO RAN:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2016, Volume 22, Number 4, Pages 102–113
DOI: https://doi.org/10.21538/0134-4889-2016-22-4-102-113 (Mi timm1358) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Shape preservation conditions under interpolation by Subbotin's parabolic splines

V. V. Bogdanov, Yu. S. Volkov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Full-text PDF (217 kB) Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.21538/0134-4889-2016-22-4-102-113
Abstract: Parabolic splines are applied to solve an interpolation problem with the conditions of preserving the piecewise monotonicity and convexity. Sufficient conditions are established for the piecewise monotonicity and convexity of Subbotin's quadratic interpolation splines, and numerical examples are given.
Keywords: quadratic spline, interpolation, shape preservation.
Funding agency Grant number
Russian Foundation for Basic Research 15-07-07530
Received: 15.09.2016
Bibliographic databases:
Document Type: Article
UDC: 519.65
MSC: 65D05, 65D07
Language: Russian
Citation: V. V. Bogdanov, Yu. S. Volkov, “Shape preservation conditions under interpolation by Subbotin's parabolic splines”, Trudy Inst. Mat. i Mekh. UrO RAN, 22, no. 4, 2016, 102–113
Citation in format AMSBIB
\Bibitem{BogVol16}
\by V.~V.~Bogdanov, Yu.~S.~Volkov
\paper Shape preservation conditions under interpolation by Subbotin's parabolic splines
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2016
\vol 22
\issue 4
\pages 102--113
\mathnet{http://mi.mathnet.ru/timm1358}
\crossref{https://doi.org/10.21538/0134-4889-2016-22-4-102-113}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3590926}
\elib{https://elibrary.ru/item.asp?id=27350130}
Linking options:
  • https://www.mathnet.ru/eng/timm1358
  • https://www.mathnet.ru/eng/timm/v22/i4/p102
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Trudy Instituta Matematiki i Mekhaniki UrO RAN
    Statistics & downloads:
    Abstract page:292
    Full-text PDF :60
    References:35
    First page:5
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024