Zapiski Nauchnykh Seminarov POMI
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


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




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

Zapiski Nauchnykh Seminarov POMI, 2016, Volume 444, Pages 5–14 (Mi znsl6266)  
This article is cited in 2 scientific papers (total in 2 papers)

On monotonicity of some functionals under monotone rearrangement with respect to one variable

S. V. Bankevich

St. Petersburg State University, St. Petersburg, Russia
Full-text PDF (192 kB) Citations (2)
References:
PDF
HTML
Abstract: We consider the Pólya–Szegö inequality for monotone rearrangement with integrand dependent on the rearrangement variable. The inequality is proved for integrands having polynomial growth.
Key words and phrases: rearrangements of functions, integral functionals.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-07650
Received: 11.11.2015
English version:
Journal of Mathematical Sciences (New York), 2017, Volume 224, Issue 3, Pages 385–390
DOI: https://doi.org/10.1007/s10958-017-3423-3
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: S. V. Bankevich, “On monotonicity of some functionals under monotone rearrangement with respect to one variable”, Boundary-value problems of mathematical physics and related problems of function theory. Part 45, Zap. Nauchn. Sem. POMI, 444, POMI, St. Petersburg, 2016, 5–14; J. Math. Sci. (N. Y.), 224:3 (2017), 385–390
Citation in format AMSBIB
\Bibitem{Ban16}
\by S.~V.~Bankevich
\paper On monotonicity of some functionals under monotone rearrangement with respect to one variable
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~45
\serial Zap. Nauchn. Sem. POMI
\yr 2016
\vol 444
\pages 5--14
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6266}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3509675}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2017
\vol 224
\issue 3
\pages 385--390
\crossref{https://doi.org/10.1007/s10958-017-3423-3}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85020236960}
Linking options:
  • https://www.mathnet.ru/eng/znsl6266
  • https://www.mathnet.ru/eng/znsl/v444/p5
    • 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
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:154
    Full-text PDF :47
    References:35
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024