Convex Poincar\'e inequality
Probability
2013-10-09 v2
Abstract
We characterize the symmetric measures which satisfy the one dimensional convex Poincar\'e inequality. For these measures the tenesorization argument yields concentration inequalities for their products and convex sets in R^n.
Cite
@article{arxiv.1310.1881,
title = {Convex Poincar\'e inequality},
author = {P. Nayar and T. Tkocz},
journal= {arXiv preprint arXiv:1310.1881},
year = {2013}
}
Comments
This paper has been withdrawn as it turned out that the result is known due to the work S. Bobkov, F. G\"otze, Discrete isoperimetric and Poincar\'e-type inequalities, Probab. Theory Related Fields 114 (1999), no. 2, 245-277