SOME NEW BONNESEN-STYLE INEQUALITIES
SOME NEW BONNESEN-STYLE INEQUALITIES
By evaluating the containment measure of one domain to contain another, we will derive some new Bonnesen-type inequalities (Theorem 2) via the method of integral geometry. We obtain Ren's sufficient condition for one domain to contain another domain (Theorem 4). We also obtain some new geometric inequalities. Finally we give …