Chouikha, A. Raouf Problems on polygons and Bonnesen-type inequalities. (English) Zbl 1027.52004 Indag. Math., New Ser. 10, No. 4, 495-506 (1999). Summary: We are interested in some Bonnesen-type isoperimetric inequalities for plane \(n\)-gons in relation with two conjectures proposed by P. Levy and X. M. Zhang. MSC: 52A40 Inequalities and extremum problems involving convexity in convex geometry Keywords:Bonnesen-type isoperimetric inequalities; plane \(n\)-gons PDFBibTeX XMLCite \textit{A. R. Chouikha}, Indag. Math., New Ser. 10, No. 4, 495--506 (1999; Zbl 1027.52004) Full Text: DOI arXiv References: [1] Chouikha, R., Probleme de P. Levy sur les polygones articules, C.R. Math. Report, Acad. of Sc. of Canada, vol. 10, 175-180 (1988) · Zbl 0654.51024 [2] Fuglede, B., Bonnesen inequality for the isoperimetric deficiency of closed curves in the plane, Geometriae Dedicata, vol. 38, 283-300 (1991) · Zbl 0723.53001 [3] Ku, H. T.; Ku, M. C.; Zhang, X. M., Analytic and geometric isoperimetric inequalities, J. of Geometry, vol. 53, 100-121 (1995) · Zbl 0842.51011 [4] Levy, P., Le probleme des isoperimetres et des polygones articules, Bull. Sc. Math., 2eme serie, 90, 103-112 (1966) · Zbl 0145.42703 [5] Osserman, R., The isoperimetric inequalities, Bull. Amer. Math. Soc., vol. 84, 1182-1238 (1978) · Zbl 0411.52006 [6] Osserman, R., Bonnesen-style isoperimetric inequalities, Amer. Math. Monthly, vol. 1, 1-29 (1979) · Zbl 0404.52012 [7] Zhang, X. M., Bonnesen-style inequalities and pseudo-perimeters for polygons, J. of Geometry, vol. 60, 188-201 (1997) · Zbl 0890.51017 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.