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Sbornik: Mathematics, 2009, Volume 200, Issue 10, Pages 1439–1452
DOI: https://doi.org/10.1070/SM2009v200n10ABEH004044
(Mi sm7535)
 

This article is cited in 12 scientific papers (total in 12 papers)

Quadratic forms involving Green's and Robin functions

V. N. Dubinin

Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences
References:
Abstract: General inequalities for quadratic forms with coefficients depending on the values of Green's and Robin functions are obtained. These inequalities cover also the reduced moduli of strips and half-strips. Some applications of the results obtained to extremal partitioning problems and related questions of geometric function theory are discussed.
Bibliography: 29 titles.
Keywords: Green's function, Robin function, reduced moduli, extremal decompositions, covering theorems.
Received: 05.02.2009
Bibliographic databases:
UDC: 517.54
MSC: Primary 30C85, 30C99; Secondary 31A15, 30C25
Language: English
Original paper language: Russian
Citation: V. N. Dubinin, “Quadratic forms involving Green's and Robin functions”, Sb. Math., 200:10 (2009), 1439–1452
Citation in format AMSBIB
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\paper Quadratic forms involving Green's and Robin functions
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\vol 200
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  • https://doi.org/10.1070/SM2009v200n10ABEH004044
  • https://www.mathnet.ru/eng/sm/v200/i10/p25
  • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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