IJPAM: Volume 31, No. 2 (2006)

SOME GENERALIZED INEQUALITIES
AND THEIR APPLICATIONS

M.A.K. Baig$^1$, Rayees Ahmad Dar$^2$
$^{1,2}$Department of Statistics
University of Kashmir
Srinagar, 190006, INDIA
$^1$e-mail: baigmak@yahoo.co.in
$^2$e-mail: rayees_stats@yahoo.com


Abstract.Shannon inequalities are well known in information theory. In this paper, we have proposed some generalized inequalities in terms of independent variable $s$, and applied these inequalities in Shannon's entropy, Renyi's entropy and mutual information. Also Dragomir [2, 3] inequalities becomes the particular cases of our proposed inequalities.

Received: July 26, 2006

AMS Subject Classification: 94A17, 94A24

Key Words and Phrases: Shannon's entropy, Renyi's entropy, mutual information, convex function

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2006
Volume: 31
Issue: 2