Reverse Bonnesen-style inequalities on surfaces of constant curvature
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DOI: 10.1142/s0129167x18500404
Abstract: This paper deals with the isoperimetric deficit upper bound for the convex domain in a surface ????????2 of constant curvature ???? by the containment measure of a convex domain to contain another convex do... read more here.
Keywords: reverse bonnesen; inequalities surfaces; constant curvature; style inequalities ... See more keywords
A sharp reverse Bonnesen-style inequality and generalization
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-019-2043-5
Abstract: We investigate the isoperimetric deficit of the oval domain in the Euclidean plane. Via the kinematic formulae of Poincaré and Blaschke, and Blaschke’s rolling theorem, we obtain a sharp reverse Bonnesen-style inequality for a plane… read more here.
Keywords: reverse bonnesen; bonnesen style; style inequality; sharp reverse ... See more keywords