The isoperimetric inequality

  title={The isoperimetric inequality},
  author={Robert Osserman},
  journal={Bulletin of the American Mathematical Society},
  • R. Osserman
  • Published 1978
  • Mathematics
  • Bulletin of the American Mathematical Society
where A is the area enclosed by a curve C of length L, and where equality holds if and only if C is a circle. The purpose of this paper is to recount some of the most interesting of the many sharpened forms, generalizations, and applications of this inequality, with emphasis on recent contributions. Earlier work is summarized in the book of Hadwiger [1], Other general references, varying from very elementary to quite technical are Kazarinoff [1], Pólya [2, Chapter X], Porter [1], and the books… Expand

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