By Topic

Logarithmic Sobolev Inequalities for Information Measures

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$33 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)
Christos P. Kitsos ; Dept. of Math., Technol. Educ. Inst. of Athens, Athens ; Nikolaos K. Tavoularis

For alpha ges 1, the new Vajda-type information measure J alpha (X) is a quantity generalizing Fisher's information (FI), to which it is reduced for alpha = 2 . In this paper, a corresponding generalized entropy power N alpha (X) is introduced, and the inequality N alpha (X) J alpha(X) ges n is proved, which is reduced to the well-known inequality of Stam for alpha = 2. The cases of equality are also determined. Furthermore, the Blachman-Stam inequality for the FI of convolutions is generalized for the Vajda information J alpha (X) and both families of results in the context of measure of information are discussed. That is, logarithmic Sobolev inequalities (LSIs) are written in terms of new more general entropy-type information measure, and therefore, new information inequalities are arisen. This generalization for special cases yields to the well known information measures and relative bounds.

Published in:

IEEE Transactions on Information Theory  (Volume:55 ,  Issue: 6 )