Geodesic
Quadratic forms involving Green's and Robin functions
Sbornik. Mathematics, Tome 200 (2009) no. 10, pp. 1439-1452

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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. 
@article{SM_2009_200_10_a1,
     author = {V. N. Dubinin},
     title = {Quadratic forms involving {Green's} and {Robin} functions},
     journal = {Sbornik. Mathematics},
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     volume = {200},
     number = {10},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2009_200_10_a1/}
}
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V. N. Dubinin. Quadratic forms involving Green's and Robin functions. Sbornik. Mathematics, Tome 200 (2009) no. 10, pp. 1439-1452. http://geodesic.mathdoc.fr/item/SM_2009_200_10_a1/