From inequalities relating symmetrizations of convex bodies to the diameter-width ratio for complete and pseudo-complete convex sets

Key Points

• The study reveals new inequalities related to symmetrizations of convex bodies, highlighting significant geometric relationships.
• Key findings indicate that such inequalities can influence the understanding of the diameter-width ratio in convex sets.
• Observational analysis on convex bodies and pseudo-complete sets shows a complex interplay of their geometrical properties.
• This research suggests pathways for further exploration into geometric inequalities and their applications in mathematical theory.