Entropies, Convexity, and Functional Inequalities on Phi-entropies and Phi-sobolev Inequalities

@inproceedings{Chafi2002EntropiesCA,
  title={Entropies, Convexity, and Functional Inequalities on Phi-entropies and Phi-sobolev Inequalities},
  author={Chaf{\"a}i},
  year={2002}
}
  • Chafäi
  • Published 2002
Our aim is to provide a short and self contained synthesis which generalise and unify various related and unrelated works involving what we call Φ-Sobolev functional inequalities. Such inequalities related to Φ-entropies can be seen in particular as an inclusive interpolation between Poincaré and Gross logarithmic Sobolev inequalities. In addition to the… CONTINUE READING