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Proyecciones (Antofagasta)

Print version ISSN 0716-0917

Proyecciones (Antofagasta) vol.35 no.4 Antofagasta Dec. 2016 

On generalization of K-divergence, its order relation with J-divergence and related results


G. Farid

Atiq Ur Rehman 

COMSATS Institute of Information Technology, Pakistan

J. Pecaric 

University Of Zagreb, Croatia 


In this paper, we give an order relation between J-divergence and generalized K-divergence. By using this order relation we give generalizations ofthe results related to an order relation between J-divergence and K-divergence given by J. Burbea and C. R. Rao. Also we construct class of m-exponentially convexfunctions introducing by nonnegative difference of new order relation.

Subjclass [2000] : 94A17, 26B25

Keywords : Convexfunctions, K-divergence, J-divergence, log-convexity, Cauchy means, exponentially convex functions.


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G. Farid

COMSATS Institute of Information Technology, Attock Campus,


e-mail :

Atiq Ur Rehman

COMSATS Institute of Information Technology, Attock Campus,


e-mail :

J. Pecaric

Faculty Of Textile Technology Zagreb, University Of Zagreb,


Received : May 2015. Accepted : September 2016

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