Schur-convex functions and isoperimetric inequalities
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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.References
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Additional Information
- Xin-Min Zhang
- Affiliation: Department of Mathematics and Statistics, University of South Alabama, Mobile, Alabama 36688
- Email: zhang@mathstat.usouthal.edu
- Received by editor(s): September 8, 1995
- Received by editor(s) in revised form: August 11, 1996
- Communicated by: J. Marshall Ash
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 461-470
- MSC (1991): Primary 26B25, 26D05, 26D10, 52A40, 52A41, 52B60
- DOI: https://doi.org/10.1090/S0002-9939-98-04151-3
- MathSciNet review: 1423343