A new isoperimetric-type inequality and its stability

DOI10.7153/jmi-2023-17-59OpenAlexW4387716862MaRDI QIDQ6054134

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Publication date: 24 October 2023

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jmi-2023-17-59

zbMATH Keywords

stabilityFourier seriesreverse isoperimetric inequality

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Convex sets in (2) dimensions (including convex curves) (52A10) Fourier series and coefficients in several variables (42B05)

Cites Work

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• A reverse isoperimetric inequality for convex plane curves
• On a non-local perimeter-preserving curve evolution problem for convex plane curves
• Steiner polynomials, Wulff flows, and some new isoperimetric inequalities for convex plane curves
• A note on the reverse isoperimetric inequality
• Stability of a reverse isoperimetric inequality
• The isoperimetric inequality and its stability

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