An Inequality for Moments of Log-Concave Functions on Gaussian Random Vectors Academic Article uri icon

abstract

  • © Springer International Publishing AG 2017. We prove sharp moment inequalities for log-concave and log-convex functions, on Gaussian random vectors. As an application we take a reverse form of the classical logarithmic Sobolev inequality, in the case where the function is log-concave.

author list (cited authors)

  • Dafnis, N., & Paouris, G.

citation count

  • 0

publication date

  • April 2017