IJPAM: Volume 51, No. 4 (2009)


Mustapha Raïssouli
AFACSI Laboratory
Department of Mathematics and Informatics
Faculty of Sciences
Moulay Ismaïl University
P.O. Box 11201, Zitoune, Meknès, MOROCCO
e-mail: raissouli_10@hotmail.com

Abstract.The fundamental goal of this article is to introduce an extension of the Tsallis relative entropy,


from positive operators to convex functionals. Several results together with their proofs, already stated for relative operator entropy, are here obtained immediately in a fast way.

Received: January 31, 2009

AMS Subject Classification: 39B62, 54C70, 46S20

Key Words and Phrases: positive operator, convex functional relative operator entropy, relative functional entropy, Tsallis relative entropy, parameterized functional entropy

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 51
Issue: 4