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THE BONNESEN-TYPE INEQUALITIES IN A PLANE OF CONSTANT CURVATURE

THE BONNESEN-TYPE INEQUALITIES IN A PLANE OF CONSTANT CURVATURE

We investigate the containment measure of one domain to contain in another domain in a plane <TEX>$X^{\kappa}$</TEX> 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 <TEX>$X^{\kappa}$</TEX>.