Abstract
A purely analytic proof is given for an inequality that has as a direct consequence the two most important affine isoperimetric inequalities of plane convex geometry: The Blaschke-Santaló inequality and the affine isoperimetric inequality of affine differential geometry.
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Chen, W., Howard, R., Lutwak, E. et al. A generalized affine isoperimetric inequality. J Geom Anal 14, 597–612 (2004). https://doi.org/10.1007/BF02922171
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DOI: https://doi.org/10.1007/BF02922171