### Abstract

In this paper, we prove several inequalities for
the first eigenvalue, torsional rigidity, and the inradius for curvilinear polygons with n sides, each of which is a smooth arc of a bounded curvature. Our main proofs rely on the method of dissymmetrization and on a special geometrical containment theorem for curvilinear polygons.

Original language | English |
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Pages (from-to) | 765-783 |

Journal | Bulletin of the London Mathematical Society |

State | Published - Oct 2010 |

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## Cite this

Solynin, A., & Zalgaller, V. A. (2010). The inradius, the irst eigenvalue and the torsional rigidity of curvilinear polygons.

*Bulletin of the London Mathematical Society*, 765-783.