Volume 2,  Issue 1, 2001

Article 11

ON SOME APPLICATIONS OF THE AG INEQUALITY IN INFORMATION THEORY

BERTRAM MOND AND JOSIP E. PECARIC

SCHOOL OF MATHEMATICS AND STATISTICS
LA TROBE UNIVERSITY, BUNDOORA,
VICTORIA. 3083
E-Mail: B.Mond@latrobe.edu.au

DEPARTMENT OF MATHEMATICS 
FACULTY OF TEXTILE TECHNOLOGY
UNIVERSITY OF ZAGREB
CROATIA.

E-Mail: pecaric@mahazu.hazu.hr

Received 3 November, 2000; accepted 11 January 2001.
Communicated by: A. Lupas


ABSTRACT.  Recently, S.S. Dragomir used the concavity property of the log mapping and the weighted arithmetic mean-geometric mean inequality to develop new inequalities that were then applied to Information Theory. Here we extend these inequalities and their applications.
Key words:
Arithmetic-Geometric Mean, Kullback-Leibler Distances, Shannon's Entropy.

2000 Mathematics Subject Classification:
26D15


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Other papers in this issue

Some inequalities for the dispersion of a random variable whose PDF is defined on a finite interval
N.S. Barnett, P. Cerone, S.S. Dragomir and J. Roumeliotis 

Monotone Methods Applied to Some Higher Order Boundary Value Problems
John M. Davis and Johnny Henderson

On Multiplicatively Perfect Numbers
J. Sándor 

Some Aspects of Convex Functions and Their Applications
J. Rooin 

Further Reverse Results for Jensen's Discrete Inequality and Applications in Information Theory
I. Budimir, S.S. Dragomir and J. Pecaric

Sharp Bounds on Quasiconvex Moments of Generalized Order Statistics 
L. Gajek and A. Okolewski

Inequalities on Polynomial Heights
L. Panaitopol and Doru Stefanescu

An Application of Van der Corput's Inequality
Kanthi Perera

On a Inequality of Gronwall
James Adedayo Oguntuase

Complete Systems of Inequalities
Maria A. Hernandez Cifre, Guillermo Salinas and Salvador Segura Gomis 

On Some Applications of the AG Inequality in Information Theory
B. Mond and J.E. Pecaric 

On Ky Fan's Minimax Inequalities, Mixed Equilibrium Problems and Hemivariational Inequalities
E. M. Kalmoun 

An Algebraic Inequality
Feng Qi 


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