Converse Poincaré-type inequalities are obtained within the class of smooth convex functions. This is, in particular, applied to the double exponential distribution.
Bibliographical noteFunding Information:
* Corresponding author. t Research supported in part by the ISF grant NZX000 and NZX300 and by the Russian Foundation for Basic Research Grant 96-01-00201. 2 Research supported in part by an NSF Postdoctoral Fellowship.
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- Double exponential distribution
- Poincaré inequality