Title

Glaeser's Inequality on an Interval

Document Type

Presentation

Presentation Date

8-6-2010

Conference Name

Mathematical Association of America

Conference Location

Pittsburgh, PA

Peer Review

Contributed

Abstract

"Glaeser's Inequality" is a theorem of elementary calculus which states that if a function f is non-negative on R and has continuous second derivative bounded by M, then the first derivative satisfies |f'(x)|<=sqrt(2Mf(x)) at every point x. It is easy to find counterexamples if we change the domain R to an arbitrary interval, but I will present an analogous pointwise inequality for functions on an interval, which specializes to Glaeser's inequality as a limiting case.

Keywords

MathFest 2010

Disciplines

Analysis | Mathematics

This document is currently not available here.

Share

COinS