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Matematicheskie Zametki, 2011, Volume 89, Issue 1, Pages 127–130
DOI: https://doi.org/10.4213/mzm8930 (Mi mzm8930) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Brief Communications

Approximation of Derivatives by Jumps of Interpolating Splines

Yu. S. Volkovab, V. L. Miroshnichenkoab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
b Novosibirsk State University
Full-text PDF (321 kB) Citations (6)
References:
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DOI: https://doi.org/10.4213/mzm8930
Keywords: interpolation, interpolating spline, jump of a spline, periodic B-spline, collocation matrix.
Received: 19.04.2010
English version:
Mathematical Notes, 2011, Volume 89, Issue 1, Pages 138–141
DOI: https://doi.org/10.1134/S0001434611010160
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: Yu. S. Volkov, V. L. Miroshnichenko, “Approximation of Derivatives by Jumps of Interpolating Splines”, Mat. Zametki, 89:1 (2011), 127–130; Math. Notes, 89:1 (2011), 138–141
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/mzm8930
  • https://doi.org/10.4213/mzm8930
  • https://www.mathnet.ru/eng/mzm/v89/i1/p127
    • This publication is cited in the following 6 articles:
    1. Yu. S. Volkov, V. V. Bogdanov, “On error estimates of local approximation by splines”, Siberian Math. J., 61:5 (2020), 795–802  mathnet  crossref  crossref  isi  elib
    2. V. V. Bogdanov, Yu. S. Volkov, “Shape-preservation conditions for cubic spline interpolation”, Siberian Adv. Math., 29:4 (2019), 231–262  mathnet  crossref  crossref
    3. Yu. S. Volkov, Yu. N. Subbotin, “50 years to Schoenberg's problem on the convergence of spline interpolation”, Proc. Steklov Inst. Math. (Suppl.), 288, suppl. 1 (2015), 222–237  mathnet  crossref  mathscinet  isi  elib
    4. T. Zhanlav, R. Mijiddorj, “Integro quintic splines and their approximation properties”, Appl. Math. Comput., 231 (2014), 536–543  crossref  mathscinet  zmath  isi  scopus
    5. V. I. Dmitriev, I. V. Dmitrieva, J. G. Ingtem, “Integral form of the spline function in approximation problems”, Comput Math Model, 24:4 (2013), 488  crossref
    6. Yu. S. Volkov, V. T. Shevaldin, “Usloviya formosokhraneniya pri interpolyatsii splainami vtoroi stepeni po Subbotinu i po Marsdenu”, Tr. IMM UrO RAN, 18, no. 4, 2012, 145–152  mathnet  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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