Schur-convex functions and isoperimetric inequalities

DOI10.1090/S0002-9939-98-04151-3zbMath0908.26009OpenAlexW1509530289MaRDI QIDQ4383017

Xin-Min Zhang

Publication date: 24 March 1998

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-98-04151-3

zbMATH Keywords

symmetric functionisoperimetric inequalitydoubly stochastic matrixSchur-convex functionBonnesen inequalitydegree of irregularity

Mathematics Subject Classification ID

Convex functions and convex programs in convex geometry (52A41) Inequalities and extremum problems involving convexity in convex geometry (52A40) Isoperimetric problems for polytopes (52B60) Convexity of real functions of several variables, generalizations (26B25) Inequalities involving derivatives and differential and integral operators (26D10)

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Cites Work

• Bonnesen-style inequalities and pseudo-perimeters for polygons
• Analytic and geometric isoperimetric inequalities
• A refinement of the discrete Wirtinger inequality
• Sur quelques applications des fonctions convexes et concaves au sens de I. Schur
• Cyclic polygons and related questions
• An inequality for certain bivariate probability integrals
• Bonnesen-Style Isoperimetric Inequalities
• The isoperimetric inequality
• Isoperimetric Inequalities on Surfaces of Constant Curvature
• Analytic Inequalities
• Inequalities: theory of majorization and its applications
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