PTAH inequality result

There is an additional classic inequalityMathworldPlanetmath to be added to the list (A) through (F), namely the maximum-entropy inequality (in logarithmic form)


Also, inequality (C) should be labeled “the Kullback–Leibler inequality”.

Then, the labeling could be modified: the first time the PTAH inequality appears it could be labeled (P); then the maximum-entropy inequality could be labeled (G), followed by Hölder’s inequality (already labeled (H)); and the statement could be “the inequalities (A) through (G) are equivalentMathworldPlanetmathPlanetmathPlanetmathPlanetmathPlanetmath, each is a special case of (H), and (H) is a special case of (P). However, it appears that none of the reverse implicationsMathworldPlanetmath hold.”

Title PTAH inequality result
Canonical name PTAHInequalityResult
Date of creation 2013-03-22 18:08:33
Last modified on 2013-03-22 18:08:33
Owner cappymate (20671)
Last modified by cappymate (20671)
Numerical id 4
Author cappymate (20671)
Entry type Result
Classification msc 26D15