# THE BONNESEN-TYPE INEQUALITIES IN A PLANE OF CONSTANT CURVATURE

• Zhou, Jiazu ;
• Chen, Fangwei
• Published : 2007.11.30
• 76 6

#### Abstract

We investigate the containment measure of one domain to contain in another domain in a plane $X^{\kappa}$ of constant curvature. We obtain some Bonnesen-type inequalities involving the area, length, radius of the inscribed and the circumscribed disc of a domain D in $X^{\kappa}$.

#### Keywords

isoperimetric inequality;Bonessen inequality;kinematic measure;containment measure;hyperbolic plane;projective plane;geodesic disc

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