Loading [MathJax]/jax/output/SVG/config.js
Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




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

Matematicheskie Zametki, 2004, Volume 76, Issue 6, Pages 812–823
DOI: https://doi.org/10.4213/mzm150 (Mi mzm150) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Negative Results in Form-Preserving Approximation of Higher Order

A. V. Bondarenko, A. V. Primak

National Taras Shevchenko University of Kyiv
Full-text PDF (227 kB) Citations (4)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm150
Abstract: It is proved that for $q$-convex polynomial approximations, where $q\ge4$ , inequalities of Jackson type are not valid even with a constant depending on the approximated function.
Received: 08.05.2003
English version:
Mathematical Notes, 2004, Volume 76, Issue 6, Pages 758–769
DOI: https://doi.org/10.1023/B:MATN.0000049675.24438.f2
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: A. V. Bondarenko, A. V. Primak, “Negative Results in Form-Preserving Approximation of Higher Order”, Mat. Zametki, 76:6 (2004), 812–823; Math. Notes, 76:6 (2004), 758–769
Citation in format AMSBIB
\Bibitem{BonPri04}
\by A.~V.~Bondarenko, A.~V.~Primak
\paper Negative Results in Form-Preserving Approximation of Higher Order
\jour Mat. Zametki
\yr 2004
\vol 76
\issue 6
\pages 812--823
\mathnet{http://mi.mathnet.ru/mzm150}
\crossref{https://doi.org/10.4213/mzm150}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2127492}
\zmath{https://zbmath.org/?q=an:1114.41006}
\transl
\jour Math. Notes
\yr 2004
\vol 76
\issue 6
\pages 758--769
\crossref{https://doi.org/10.1023/B:MATN.0000049675.24438.f2}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000226356700017}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-10344247179}
Linking options:
  • https://www.mathnet.ru/eng/mzm150
  • https://doi.org/10.4213/mzm150
  • https://www.mathnet.ru/eng/mzm/v76/i6/p812
    • This publication is cited in the following 4 articles:
    1. Kopotun K.A., Leviatan D., Petrova I.L., Shevchuk I.A., “Interpolatory Pointwise Estimates For Convex Polynomial Approximation”, Acta Math. Hung., 163:1 (2021), 85–117  crossref  mathscinet  isi  scopus
    2. Dzyubenko G.A., Kopotun K.A., Prymak A.V., “Three-monotone spline approximation”, J Approx Theory, 162:12 (2010), 2168–2183  crossref  mathscinet  zmath  isi  scopus  scopus
    3. Bondarenko A., Gīlewicz J., “Negative result in pointwise 3-convex polynomial approximation”, Ukr. Math. J,, 61:4 (2009), 674–681  crossref  mathscinet  zmath  isi  scopus  scopus
    4. Halgwrd Darwesh, “Log-Convex Polynomial Approximation in Log. of Twice Differentiable Functions”, JZS, 11:1 (2007), 21  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:364
    Full-text PDF :190
    References:64
    First page:1
     
      Contact us:
    math-net2025_05@mi-ras.ru     		 Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025