Loading [MathJax]/jax/output/SVG/config.js
Mathematics of the USSR-Izvestiya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Mathematics of the USSR-Izvestiya, 1967, Volume 1, Issue 2, Pages 259–272
DOI: https://doi.org/10.1070/IM1967v001n02ABEH000556 (Mi im2538) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Inequalities for polyharmonic polynomials in a mixed norm

Ya. S. Bugrov
English version PDF (408 kB) Citations (1) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/IM1967v001n02ABEH000556
Abstract: This paper establishes inequalities in terms of a mixed norm for polynomials which are polyharmonic in the unit circle. These inequalities are of Bernshtein type for trigonometric polynomials. On the basis of the inequalities obtained, one can explain the differential properties of functions polyharmonic in the unit circle as regards their dependence on properties of the boundary values.
Received: 26.11.1965
Bibliographic databases:
UDC: 517.5
MSC: 41A17, 31B30, 26D05, 35M10, 26B35
Language: English
Original paper language: Russian
Citation: Ya. S. Bugrov, “Inequalities for polyharmonic polynomials in a mixed norm”, Math. USSR-Izv., 1:2 (1967), 259–272
Citation in format AMSBIB
\Bibitem{Bug67}
\by Ya.~S.~Bugrov
\paper Inequalities for polyharmonic polynomials in a mixed norm
\jour Math. USSR-Izv.
\yr 1967
\vol 1
\issue 2
\pages 259--272
\mathnet{http://mi.mathnet.ru/eng/im2538}
\crossref{https://doi.org/10.1070/IM1967v001n02ABEH000556}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=209512}
\zmath{https://zbmath.org/?q=an:0168.09604}
Linking options:
  • https://www.mathnet.ru/eng/im2538
  • https://doi.org/10.1070/IM1967v001n02ABEH000556
  • https://www.mathnet.ru/eng/im/v31/i2/p275
    • This publication is cited in the following 1 articles:
    1. L. D. Kudryavtsev, S. M. Nikol'skiǐ, Encyclopaedia of Mathematical Sciences, 26, Analysis III, 1991, 1  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:366
    Russian version PDF:111
    English version PDF:17
    References:81
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025