Abstract
The paper concerns inequalities between fundamental quantities as area, perimeter, diameter and width for convex plane fugures.
Highlights
In this paper we use methods from the geometry of convex figures and geometric inequalities.Both the above mathematical subjects are old but have been very convenient, fruitful and active in recent times
L stands for the perimeter, DF the diameter, d F the minimal breadth, and A the area of F
The equality holds for the circle and the convex figures with constant breadth
Summary
In this paper we use methods from the geometry of convex figures and geometric inequalities.Both the above mathematical subjects are old but have been very convenient, fruitful and active in recent times. Abstract: The paper concerns inequalities between fundamental quantities as area, perimeter, diameter and width for convex plane fugures. In this paper we use methods from the geometry of convex figures and geometric inequalities. The problem is to find solutions to three interesting inequalities for convex figures in the plane. The problem was published in AXIOMS 2018 7(1) by
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