@article{45f7338af4b54389a68298e52bba3435,
title = "A generalized affine isoperimetric inequality",
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-Santal{\'o} inequality and the affine isoperimetric inequality of affine differential geometry.",
keywords = "Blaschke-Santal6 inequality, affine isoperimetric inequality",
author = "W. Chen and R. Howard and E. Lutwak and D. Yang and G. Zhang",
note = "Funding Information: Math Subject Classifications. 52A40. Key Words and Phrases. Blaschke-Santal6 inequality, affine isoperimetric inequality. Acknowledgements and Notes. First author was supported in part by NSF Grant DMS-0072328; second author was partially supported by ONR-DEPSCoR; third, fourth, and fifth authors were supported in part by NSF Grant DMS-0104363.",
year = "2004",
doi = "10.1007/BF02922171",
language = "English (US)",
volume = "14",
pages = "597--612",
journal = "Journal of Geometric Analysis",
issn = "1050-6926",
publisher = "Springer New York",
number = "4",
}