Schur-convex Functions and Isoperimetric Inequalities
نویسنده
چکیده
In this paper, we establish some analytic inequalities for Schurconvex functions that are made of solutions of a second order nonlinear differential equation. We apply these analytic inequalities to obtain some geometric inequalities.
منابع مشابه
Stability results for some geometric inequalities and their functional versions ∗
The Blaschke Santaló inequality and the Lp affine isoperimetric inequalities are major inequalities in convex geometry and they have a wide range of applications. Functional versions of the Blaschke Santaló inequality have been established over the years through many contributions. More recently and ongoing, such functional versions have been established for the Lp affine isoperimetric inequali...
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