Schur-convex functions and isoperimetric inequalities

Zhang, Xin-Min

doi:10.1090/S0002-9939-98-04151-3

Schur-convex functions and isoperimetric inequalities
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Proc. Amer. Math. Soc. 126 (1998), 461-470 Request permission

Abstract:

In this paper, we establish some analytic inequalities for Schur-convex functions that are made of solutions of a second order nonlinear differential equation. We apply these analytic inequalities to obtain some geometric inequalities.

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