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Analogs of the Pólya–Szegő and Makai Inequalities for the Euclidean Moment of Inertia of a Convex Domain

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Abstract

In this paper, we obtain two-sided estimates for the Euclidean moment of inertia I2(G) of a convex domain G on the plane in terms of geometric characteristics of this domain similar to the Pólya–Szegő and Makai inequalities for the torsional rigidity.

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Authors and Affiliations

  1. Kazan (Volga Region) Federal University, Kazan, Russia

    L. I. Gafiyatullina

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  1. L. I. Gafiyatullina
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Correspondence to L. I. Gafiyatullina.

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Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 176, Proceedings of the XVII All-Russian Youth School-Conference “Lobachevsky Readings-2018,” November 23-28, 2018, Kazan. Part 2, 2020.

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Gafiyatullina, L.I. Analogs of the Pólya–Szegő and Makai Inequalities for the Euclidean Moment of Inertia of a Convex Domain. J Math Sci 275, 592–601 (2023). https://doi.org/10.1007/s10958-023-06700-x

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  • DOI: https://doi.org/10.1007/s10958-023-06700-x

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