TL;DR
This paper establishes a new inequality for torsional rigidity specifically for tangential polygons, which improves upon existing inequalities for convex domains, contributing to geometric analysis and shape optimization.
Contribution
It introduces a stronger inequality for torsional rigidity in tangential polygons, extending and refining classical results for convex shapes.
Findings
New inequality for torsional rigidity of tangential polygons
Stronger than Polya and Szego inequality for convex domains
Provides insights into geometric properties of tangential polygons
Abstract
An inequality on torsional rigidity is established. For tangential polygons this inequality is stronger than an inequality of Polya and Szego for convex domains. (A survey of related work, not in the journal submission, is presented in the arXiv version.)
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