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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)
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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}
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    • 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
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