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A generalization of the Pólya-Szegő inequality for one-dimensional functionals

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Publication:656320
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DOI10.1134/S1064562411030021zbMath1275.26033MaRDI QIDQ656320

Sergeĭ V. Bankevich, Alexander I. Nazarov

Publication date: 17 January 2012

Published in: Doklady Mathematics (Search for Journal in Brave)


zbMATH Keywords

rearrangementsLavrentiev's phenomenon


Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Optimality conditions for free problems in one independent variable (49K05)


Related Items (2)

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



Cites Work

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  • Rearrangements and convexity of level sets in PDE
  • Weighted Dirichlet-type inequalities for Steiner symmetrization
  • Some remarks on rearrangements and functionals with non‐constant density


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