Vol. 7, No. 2, 2014

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The sharp log-Sobolev inequality on a compact interval

Whan Ghang, Zane Martin and Steven Waruhiu

Vol. 7 (2014), No. 2, 181–186
Abstract

We provide a proof of the sharp log-Sobolev inequality on a compact interval.

Keywords
isoperimetric inequality, log-Sobolev inequality
Mathematical Subject Classification 2010
Primary: 46
Secondary: 53
Milestones
Received: 15 September 2012
Accepted: 6 January 2013
Published: 16 November 2013

Communicated by Kenneth S. Berenhaut
Authors
Whan Ghang
Department of Mathematics
Harvard University
26 Everett Street #314
Cambridge, MA 02138
United States
Zane Martin
Department of Mathematics and Statistics
Williams College
Bronfman Science Center
18 Hoxsey Street
Williamstown, MA 01267
United States
Steven Waruhiu
Department of Mathematics
University of Chicago
5734 South University Avenue
Chicago, IL 60637
United States