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Inequalities with curvature and their stability estimates for convex curves

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Publication:2790785
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DOI10.7153/jmi-10-34zbMath1338.52010OpenAlexW2514615692MaRDI QIDQ2790785

Deyan Zhang

Publication date: 8 March 2016

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

Full work available at URL: https://doi.org/10.7153/jmi-10-34


zbMATH Keywords

stabilityFourier seriesgeometric inequalityconvex plane curve


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)


Related Items (4)

A mixed symmetric Chernoff type inequality and its stability properties ⋮ A note on the isoperimetric deficit ⋮ A sharp reverse Bonnesen-style inequality and generalization ⋮ Maximum curvature for curves in manifolds of sectional curvature at most zero or one




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