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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
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
Citation:
V. N. Dubinin, “Quadratic forms involving Green's and Robin functions”, Sb. Math., 200:10 (2009), 1439–1452
Linking options:
https://www.mathnet.ru/eng/sm7535https://doi.org/10.1070/SM2009v200n10ABEH004044 https://www.mathnet.ru/eng/sm/v200/i10/p25
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