Title
Higher order wirtinger-type inequalities and sharp bounds for the isoperimetric deficit
Publication Name
Proceedings of the American Mathematical Society
Abstract
Using Fourier analysis, we derive Wirtinger-type inequalities of arbitrary high order. As applications, we prove various sharp geometric inequalities for closed curves on the Euclidean plane. In particular, we obtain both sharp lower and upper bounds for the isoperimetric deficit.
Open Access Status
This publication may be available as open access
Volume
149
Issue
11
First Page
4825
Last Page
4840