isoperimetric inequality

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isoperimetric inequality

[‚ī·sə‚per·ə¦me·trik ‚in·i′kwäl·əd·ē]
(mathematics)
The statement that the area enclosed by a plane curve is equal to or less than the square of its perimeter divided by 4π.
References in periodicals archive ?
In these memoirs Bobkov and Zegarlinski describe interesting developments in infinite dimensional analysis that moved it away from "experimental science." Here they also describe Poincare-type inequalities, entropy and Orlicz spaces, LSq and Hardy-type inequalities on the line, probability measures satisfying LSq inequalities on the real line, exponential integrability and perturbation of measures, LSq inequalities for Gibbs measures and super Gaussian tails, LSq inequalities and Markov subgroups, isoperimetry, the localization argument, proofs of theorems, uniformly convex bodies, from isoperimetry to LSq inequalities and isoperimetric functional inequalities.
Kalogeropoulos, "Ricci curvature, isoperimetry and a nonadditive entropy," Entropy.
Concentration, functional inequalities, and isoperimetry; proceedings.