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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)
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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
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1967, Volume 31, Issue 2, Pages 275–288
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”, Izv. Akad. Nauk SSSR Ser. Mat., 31:2 (1967), 275–288; 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 Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1967
\vol 31
\issue 2
\pages 275--288
\mathnet{http://mi.mathnet.ru/im2538}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=209512}
\zmath{https://zbmath.org/?q=an:0168.09604}
\transl
\jour Math. USSR-Izv.
\yr 1967
\vol 1
\issue 2
\pages 259--272
\crossref{https://doi.org/10.1070/IM1967v001n02ABEH000556}
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  • https://doi.org/10.1070/IM1967v001n02ABEH000556
  • https://www.mathnet.ru/eng/im/v31/i2/p275
    • This publication is cited in the following 1 articles:
    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
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    Abstract page:323
    Russian version PDF:103
    English version PDF:9
    References:66
    First page:1
     
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