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Bonnesen-style inequalities and pseudo-perimeters for polygons

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In this paper, we establish some Bonnesen-style isoperimetric inequalities for plane polygons via an analytic isoperimetric inequality and an isoperimetric inequality in pseudo-perimeters of polygons.

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1991 Mathematics Subject Classification 51M10, 51M25,52A40,26D10.

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Zhang, XM. Bonnesen-style inequalities and pseudo-perimeters for polygons. J Geom 60, 188–201 (1997).

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